What is the Least Common Multiple of 51936 and 51948?

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 51936 and 51948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51936 and 51948, than apply into the LCM equation.

GCF(51936,51948) = 12
LCM(51936,51948) = ( 51936 × 51948) / 12
LCM(51936,51948) = 2697971328 / 12
LCM(51936,51948) = 224830944

Least Common Multiple (LCM) of 51936 and 51948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51936 and 51948. First we will calculate the prime factors of 51936 and 51948.

Prime Factorization of 51936

Prime Factorization of 51948

Now multiplying the highest exponent prime factors to calculate the LCM of 51936 and 51948.

LCM(51936,51948) = 2⁵ × 3³ × 541¹ × 13¹ × 37¹
LCM(51936,51948) = 224830944