What is the Least Common Multiple of 69912 and 69932?

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 69912 and 69932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69912 and 69932, than apply into the LCM equation.

GCF(69912,69932) = 4
LCM(69912,69932) = ( 69912 × 69932) / 4
LCM(69912,69932) = 4889085984 / 4
LCM(69912,69932) = 1222271496

Least Common Multiple (LCM) of 69912 and 69932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69912 and 69932. First we will calculate the prime factors of 69912 and 69932.

Prime Factorization of 69912

Prime Factorization of 69932

Now multiplying the highest exponent prime factors to calculate the LCM of 69912 and 69932.

LCM(69912,69932) = 2³ × 3² × 971¹ × 17483¹
LCM(69912,69932) = 1222271496