What is the Least Common Multiple of 64909 and 64916?

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 64909 and 64916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64909 and 64916, than apply into the LCM equation.

GCF(64909,64916) = 1
LCM(64909,64916) = ( 64909 × 64916) / 1
LCM(64909,64916) = 4213632644 / 1
LCM(64909,64916) = 4213632644

Least Common Multiple (LCM) of 64909 and 64916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64909 and 64916. First we will calculate the prime factors of 64909 and 64916.

Prime Factorization of 64909

Prime Factorization of 64916

Now multiplying the highest exponent prime factors to calculate the LCM of 64909 and 64916.

LCM(64909,64916) = 13¹ × 4993¹ × 2² × 16229¹
LCM(64909,64916) = 4213632644