What is the Least Common Multiple of 69948 and 69952?

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 69948 and 69952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69948 and 69952, than apply into the LCM equation.

GCF(69948,69952) = 4
LCM(69948,69952) = ( 69948 × 69952) / 4
LCM(69948,69952) = 4893002496 / 4
LCM(69948,69952) = 1223250624

Least Common Multiple (LCM) of 69948 and 69952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69948 and 69952. First we will calculate the prime factors of 69948 and 69952.

Prime Factorization of 69948

Prime Factorization of 69952

Now multiplying the highest exponent prime factors to calculate the LCM of 69948 and 69952.

LCM(69948,69952) = 2⁶ × 3² × 29¹ × 67¹ × 1093¹
LCM(69948,69952) = 1223250624