What is the Least Common Multiple of 53678 and 53688?

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 53678 and 53688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53678 and 53688, than apply into the LCM equation.

GCF(53678,53688) = 2
LCM(53678,53688) = ( 53678 × 53688) / 2
LCM(53678,53688) = 2881864464 / 2
LCM(53678,53688) = 1440932232

Least Common Multiple (LCM) of 53678 and 53688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53678 and 53688. First we will calculate the prime factors of 53678 and 53688.

Prime Factorization of 53678

Prime Factorization of 53688

Now multiplying the highest exponent prime factors to calculate the LCM of 53678 and 53688.

LCM(53678,53688) = 2³ × 26839¹ × 3¹ × 2237¹
LCM(53678,53688) = 1440932232