What is the Least Common Multiple of 70946 and 70952?

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 70946 and 70952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70946 and 70952, than apply into the LCM equation.

GCF(70946,70952) = 2
LCM(70946,70952) = ( 70946 × 70952) / 2
LCM(70946,70952) = 5033760592 / 2
LCM(70946,70952) = 2516880296

Least Common Multiple (LCM) of 70946 and 70952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70946 and 70952. First we will calculate the prime factors of 70946 and 70952.

Prime Factorization of 70946

Prime Factorization of 70952

Now multiplying the highest exponent prime factors to calculate the LCM of 70946 and 70952.

LCM(70946,70952) = 2³ × 19¹ × 1867¹ × 7² × 181¹
LCM(70946,70952) = 2516880296