What is the Least Common Multiple of 76640 and 76649?

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 of 76640 and 76649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76640 and 76649, than apply into the LCM equation.

GCF(76640,76649) = 1
LCM(76640,76649) = ( 76640 × 76649) / 1
LCM(76640,76649) = 5874379360 / 1
LCM(76640,76649) = 5874379360

Least Common Multiple (LCM) of 76640 and 76649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76640 and 76649. First we will calculate the prime factors of 76640 and 76649.

Prime Factorization of 76640

Prime Factorization of 76649

Now multiplying the highest exponent prime factors to calculate the LCM of 76640 and 76649.

LCM(76640,76649) = 2⁵ × 5¹ × 479¹ × 76649¹
LCM(76640,76649) = 5874379360