What is the Least Common Multiple of 54688 and 54708?
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 54688 and 54708 is 747967776.
LCM(54688,54708) = 747967776
Least Common Multiple of 54688 and 54708 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54688 and 54708, than apply into the LCM equation.
GCF(54688,54708) = 4
LCM(54688,54708) = ( 54688 × 54708) / 4
LCM(54688,54708) = 2991871104 / 4
LCM(54688,54708) = 747967776
Least Common Multiple (LCM) of 54688 and 54708 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54688 and 54708. First we will calculate the prime factors of 54688 and 54708.
Prime Factorization of 54688
Prime factors of 54688 are 2, 1709. Prime factorization of 54688 in exponential form is:
54688 = 25 × 17091
Prime Factorization of 54708
Prime factors of 54708 are 2, 3, 47, 97. Prime factorization of 54708 in exponential form is:
54708 = 22 × 31 × 471 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 54688 and 54708.
LCM(54688,54708) = 25 × 17091 × 31 × 471 × 971
LCM(54688,54708) = 747967776
Related Least Common Multiples of 54688
- LCM of 54688 and 54692
- LCM of 54688 and 54693
- LCM of 54688 and 54694
- LCM of 54688 and 54695
- LCM of 54688 and 54696
- LCM of 54688 and 54697
- LCM of 54688 and 54698
- LCM of 54688 and 54699
- LCM of 54688 and 54700
- LCM of 54688 and 54701
- LCM of 54688 and 54702
- LCM of 54688 and 54703
- LCM of 54688 and 54704
- LCM of 54688 and 54705
- LCM of 54688 and 54706
- LCM of 54688 and 54707
- LCM of 54688 and 54708
Related Least Common Multiples of 54708
- LCM of 54708 and 54712
- LCM of 54708 and 54713
- LCM of 54708 and 54714
- LCM of 54708 and 54715
- LCM of 54708 and 54716
- LCM of 54708 and 54717
- LCM of 54708 and 54718
- LCM of 54708 and 54719
- LCM of 54708 and 54720
- LCM of 54708 and 54721
- LCM of 54708 and 54722
- LCM of 54708 and 54723
- LCM of 54708 and 54724
- LCM of 54708 and 54725
- LCM of 54708 and 54726
- LCM of 54708 and 54727
- LCM of 54708 and 54728