What is the Least Common Multiple of 68640 and 68660?

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 68640 and 68660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68640 and 68660, than apply into the LCM equation.

GCF(68640,68660) = 20
LCM(68640,68660) = ( 68640 × 68660) / 20
LCM(68640,68660) = 4712822400 / 20
LCM(68640,68660) = 235641120

Least Common Multiple (LCM) of 68640 and 68660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68640 and 68660. First we will calculate the prime factors of 68640 and 68660.

Prime Factorization of 68640

Prime Factorization of 68660

Now multiplying the highest exponent prime factors to calculate the LCM of 68640 and 68660.

LCM(68640,68660) = 2⁵ × 3¹ × 5¹ × 11¹ × 13¹ × 3433¹
LCM(68640,68660) = 235641120