What is the Least Common Multiple of 69952 and 69962?

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 69952 and 69962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69952 and 69962, than apply into the LCM equation.

GCF(69952,69962) = 2
LCM(69952,69962) = ( 69952 × 69962) / 2
LCM(69952,69962) = 4893981824 / 2
LCM(69952,69962) = 2446990912

Least Common Multiple (LCM) of 69952 and 69962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69952 and 69962. First we will calculate the prime factors of 69952 and 69962.

Prime Factorization of 69952

Prime Factorization of 69962

Now multiplying the highest exponent prime factors to calculate the LCM of 69952 and 69962.

LCM(69952,69962) = 2⁶ × 1093¹ × 34981¹
LCM(69952,69962) = 2446990912