What is the Least Common Multiple of 64896 and 64907?

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 64896 and 64907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64896 and 64907, than apply into the LCM equation.

GCF(64896,64907) = 1
LCM(64896,64907) = ( 64896 × 64907) / 1
LCM(64896,64907) = 4212204672 / 1
LCM(64896,64907) = 4212204672

Least Common Multiple (LCM) of 64896 and 64907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64896 and 64907. First we will calculate the prime factors of 64896 and 64907.

Prime Factorization of 64896

Prime Factorization of 64907

Now multiplying the highest exponent prime factors to calculate the LCM of 64896 and 64907.

LCM(64896,64907) = 2⁷ × 3¹ × 13² × 47¹ × 1381¹
LCM(64896,64907) = 4212204672