What is the Least Common Multiple of 64914 and 64924?

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 64914 and 64924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64914 and 64924, than apply into the LCM equation.

GCF(64914,64924) = 2
LCM(64914,64924) = ( 64914 × 64924) / 2
LCM(64914,64924) = 4214476536 / 2
LCM(64914,64924) = 2107238268

Least Common Multiple (LCM) of 64914 and 64924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64914 and 64924. First we will calculate the prime factors of 64914 and 64924.

Prime Factorization of 64914

Prime Factorization of 64924

Now multiplying the highest exponent prime factors to calculate the LCM of 64914 and 64924.

LCM(64914,64924) = 2² × 3¹ × 31¹ × 349¹ × 16231¹
LCM(64914,64924) = 2107238268