What is the Least Common Multiple of 69936 and 69948?

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 69936 and 69948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69936 and 69948, than apply into the LCM equation.

GCF(69936,69948) = 12
LCM(69936,69948) = ( 69936 × 69948) / 12
LCM(69936,69948) = 4891883328 / 12
LCM(69936,69948) = 407656944

Least Common Multiple (LCM) of 69936 and 69948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69936 and 69948. First we will calculate the prime factors of 69936 and 69948.

Prime Factorization of 69936

Prime Factorization of 69948

Now multiplying the highest exponent prime factors to calculate the LCM of 69936 and 69948.

LCM(69936,69948) = 2⁴ × 3² × 31¹ × 47¹ × 29¹ × 67¹
LCM(69936,69948) = 407656944