What is the Least Common Multiple of 64680 and 64697?

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 64680 and 64697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64680 and 64697, than apply into the LCM equation.

GCF(64680,64697) = 1
LCM(64680,64697) = ( 64680 × 64697) / 1
LCM(64680,64697) = 4184601960 / 1
LCM(64680,64697) = 4184601960

Least Common Multiple (LCM) of 64680 and 64697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64680 and 64697. First we will calculate the prime factors of 64680 and 64697.

Prime Factorization of 64680

Prime Factorization of 64697

Now multiplying the highest exponent prime factors to calculate the LCM of 64680 and 64697.

LCM(64680,64697) = 2³ × 3¹ × 5¹ × 7² × 11¹ × 31¹ × 2087¹
LCM(64680,64697) = 4184601960