What is the Least Common Multiple of 53688 and 53706?

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 53688 and 53706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53688 and 53706, than apply into the LCM equation.

GCF(53688,53706) = 6
LCM(53688,53706) = ( 53688 × 53706) / 6
LCM(53688,53706) = 2883367728 / 6
LCM(53688,53706) = 480561288

Least Common Multiple (LCM) of 53688 and 53706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53688 and 53706. First we will calculate the prime factors of 53688 and 53706.

Prime Factorization of 53688

Prime Factorization of 53706

Now multiplying the highest exponent prime factors to calculate the LCM of 53688 and 53706.

LCM(53688,53706) = 2³ × 3¹ × 2237¹ × 8951¹
LCM(53688,53706) = 480561288