What is the Least Common Multiple of 55952 and 55961?

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 55952 and 55961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55952 and 55961, than apply into the LCM equation.

GCF(55952,55961) = 1
LCM(55952,55961) = ( 55952 × 55961) / 1
LCM(55952,55961) = 3131129872 / 1
LCM(55952,55961) = 3131129872

Least Common Multiple (LCM) of 55952 and 55961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55952 and 55961. First we will calculate the prime factors of 55952 and 55961.

Prime Factorization of 55952

Prime Factorization of 55961

Now multiplying the highest exponent prime factors to calculate the LCM of 55952 and 55961.

LCM(55952,55961) = 2⁴ × 13¹ × 269¹ × 107¹ × 523¹
LCM(55952,55961) = 3131129872