What is the Least Common Multiple of 64680 and 64690?

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 64690 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 64690, than apply into the LCM equation.

GCF(64680,64690) = 10
LCM(64680,64690) = ( 64680 × 64690) / 10
LCM(64680,64690) = 4184149200 / 10
LCM(64680,64690) = 418414920

Least Common Multiple (LCM) of 64680 and 64690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64680 and 64690. First we will calculate the prime factors of 64680 and 64690.

Prime Factorization of 64680

Prime Factorization of 64690

Now multiplying the highest exponent prime factors to calculate the LCM of 64680 and 64690.

LCM(64680,64690) = 2³ × 3¹ × 5¹ × 7² × 11¹ × 6469¹
LCM(64680,64690) = 418414920