What is the Least Common Multiple of 73952 and 73962?

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 73952 and 73962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73952 and 73962, than apply into the LCM equation.

GCF(73952,73962) = 2
LCM(73952,73962) = ( 73952 × 73962) / 2
LCM(73952,73962) = 5469637824 / 2
LCM(73952,73962) = 2734818912

Least Common Multiple (LCM) of 73952 and 73962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73952 and 73962. First we will calculate the prime factors of 73952 and 73962.

Prime Factorization of 73952

Prime Factorization of 73962

Now multiplying the highest exponent prime factors to calculate the LCM of 73952 and 73962.

LCM(73952,73962) = 2⁵ × 2311¹ × 3² × 7¹ × 587¹
LCM(73952,73962) = 2734818912