What is the Least Common Multiple of 68624 and 68640?

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 68624 and 68640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68624 and 68640, than apply into the LCM equation.

GCF(68624,68640) = 16
LCM(68624,68640) = ( 68624 × 68640) / 16
LCM(68624,68640) = 4710351360 / 16
LCM(68624,68640) = 294396960

Least Common Multiple (LCM) of 68624 and 68640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68624 and 68640. First we will calculate the prime factors of 68624 and 68640.

Prime Factorization of 68624

Prime Factorization of 68640

Now multiplying the highest exponent prime factors to calculate the LCM of 68624 and 68640.

LCM(68624,68640) = 2⁵ × 4289¹ × 3¹ × 5¹ × 11¹ × 13¹
LCM(68624,68640) = 294396960