What is the Least Common Multiple of 56952 and 56960?

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 56952 and 56960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56952 and 56960, than apply into the LCM equation.

GCF(56952,56960) = 8
LCM(56952,56960) = ( 56952 × 56960) / 8
LCM(56952,56960) = 3243985920 / 8
LCM(56952,56960) = 405498240

Least Common Multiple (LCM) of 56952 and 56960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56952 and 56960. First we will calculate the prime factors of 56952 and 56960.

Prime Factorization of 56952

Prime Factorization of 56960

Now multiplying the highest exponent prime factors to calculate the LCM of 56952 and 56960.

LCM(56952,56960) = 2⁷ × 3² × 7¹ × 113¹ × 5¹ × 89¹
LCM(56952,56960) = 405498240