What is the Least Common Multiple of 55952 and 55965?

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 55965 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 55965, than apply into the LCM equation.

GCF(55952,55965) = 13
LCM(55952,55965) = ( 55952 × 55965) / 13
LCM(55952,55965) = 3131353680 / 13
LCM(55952,55965) = 240873360

Least Common Multiple (LCM) of 55952 and 55965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55952 and 55965. First we will calculate the prime factors of 55952 and 55965.

Prime Factorization of 55952

Prime Factorization of 55965

Now multiplying the highest exponent prime factors to calculate the LCM of 55952 and 55965.

LCM(55952,55965) = 2⁴ × 13¹ × 269¹ × 3¹ × 5¹ × 7¹ × 41¹
LCM(55952,55965) = 240873360