What is the Least Common Multiple of 54760 and 54768?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 54760 and 54768 is 374886960.
LCM(54760,54768) = 374886960
Least Common Multiple of 54760 and 54768 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54760 and 54768, than apply into the LCM equation.
GCF(54760,54768) = 8
LCM(54760,54768) = ( 54760 × 54768) / 8
LCM(54760,54768) = 2999095680 / 8
LCM(54760,54768) = 374886960
Least Common Multiple (LCM) of 54760 and 54768 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54760 and 54768. First we will calculate the prime factors of 54760 and 54768.
Prime Factorization of 54760
Prime factors of 54760 are 2, 5, 37. Prime factorization of 54760 in exponential form is:
54760 = 23 × 51 × 372
Prime Factorization of 54768
Prime factors of 54768 are 2, 3, 7, 163. Prime factorization of 54768 in exponential form is:
54768 = 24 × 31 × 71 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 54760 and 54768.
LCM(54760,54768) = 24 × 51 × 372 × 31 × 71 × 1631
LCM(54760,54768) = 374886960
Related Least Common Multiples of 54760
- LCM of 54760 and 54764
- LCM of 54760 and 54765
- LCM of 54760 and 54766
- LCM of 54760 and 54767
- LCM of 54760 and 54768
- LCM of 54760 and 54769
- LCM of 54760 and 54770
- LCM of 54760 and 54771
- LCM of 54760 and 54772
- LCM of 54760 and 54773
- LCM of 54760 and 54774
- LCM of 54760 and 54775
- LCM of 54760 and 54776
- LCM of 54760 and 54777
- LCM of 54760 and 54778
- LCM of 54760 and 54779
- LCM of 54760 and 54780
Related Least Common Multiples of 54768
- LCM of 54768 and 54772
- LCM of 54768 and 54773
- LCM of 54768 and 54774
- LCM of 54768 and 54775
- LCM of 54768 and 54776
- LCM of 54768 and 54777
- LCM of 54768 and 54778
- LCM of 54768 and 54779
- LCM of 54768 and 54780
- LCM of 54768 and 54781
- LCM of 54768 and 54782
- LCM of 54768 and 54783
- LCM of 54768 and 54784
- LCM of 54768 and 54785
- LCM of 54768 and 54786
- LCM of 54768 and 54787
- LCM of 54768 and 54788