What is the Least Common Multiple of 64680 and 64686?

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 64686 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 64686, than apply into the LCM equation.

GCF(64680,64686) = 6
LCM(64680,64686) = ( 64680 × 64686) / 6
LCM(64680,64686) = 4183890480 / 6
LCM(64680,64686) = 697315080

Least Common Multiple (LCM) of 64680 and 64686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64680 and 64686. First we will calculate the prime factors of 64680 and 64686.

Prime Factorization of 64680

Prime Factorization of 64686

Now multiplying the highest exponent prime factors to calculate the LCM of 64680 and 64686.

LCM(64680,64686) = 2³ × 3¹ × 5¹ × 7² × 11¹ × 10781¹
LCM(64680,64686) = 697315080