What is the Least Common Multiple of 2760 and 2779?
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 2760 and 2779 is 7670040.
LCM(2760,2779) = 7670040
Least Common Multiple of 2760 and 2779 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2760 and 2779, than apply into the LCM equation.
GCF(2760,2779) = 1
LCM(2760,2779) = ( 2760 × 2779) / 1
LCM(2760,2779) = 7670040 / 1
LCM(2760,2779) = 7670040
Least Common Multiple (LCM) of 2760 and 2779 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2760 and 2779. First we will calculate the prime factors of 2760 and 2779.
Prime Factorization of 2760
Prime factors of 2760 are 2, 3, 5, 23. Prime factorization of 2760 in exponential form is:
2760 = 23 × 31 × 51 × 231
Prime Factorization of 2779
Prime factors of 2779 are 7, 397. Prime factorization of 2779 in exponential form is:
2779 = 71 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 2760 and 2779.
LCM(2760,2779) = 23 × 31 × 51 × 231 × 71 × 3971
LCM(2760,2779) = 7670040
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