What is the Least Common Multiple of 68646 and 68664?

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 68646 and 68664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68646 and 68664, than apply into the LCM equation.

GCF(68646,68664) = 6
LCM(68646,68664) = ( 68646 × 68664) / 6
LCM(68646,68664) = 4713508944 / 6
LCM(68646,68664) = 785584824

Least Common Multiple (LCM) of 68646 and 68664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68646 and 68664. First we will calculate the prime factors of 68646 and 68664.

Prime Factorization of 68646

Prime Factorization of 68664

Now multiplying the highest exponent prime factors to calculate the LCM of 68646 and 68664.

LCM(68646,68664) = 2³ × 3¹ × 17¹ × 673¹ × 2861¹
LCM(68646,68664) = 785584824