What is the Least Common Multiple of 56640 and 56649?

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 56640 and 56649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56640 and 56649, than apply into the LCM equation.

GCF(56640,56649) = 3
LCM(56640,56649) = ( 56640 × 56649) / 3
LCM(56640,56649) = 3208599360 / 3
LCM(56640,56649) = 1069533120

Least Common Multiple (LCM) of 56640 and 56649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56640 and 56649. First we will calculate the prime factors of 56640 and 56649.

Prime Factorization of 56640

Prime Factorization of 56649

Now multiplying the highest exponent prime factors to calculate the LCM of 56640 and 56649.

LCM(56640,56649) = 2⁶ × 3¹ × 5¹ × 59¹ × 23¹ × 821¹
LCM(56640,56649) = 1069533120