What is the Least Common Multiple of 37952 and 37960?

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 37952 and 37960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37952 and 37960, than apply into the LCM equation.

GCF(37952,37960) = 8
LCM(37952,37960) = ( 37952 × 37960) / 8
LCM(37952,37960) = 1440657920 / 8
LCM(37952,37960) = 180082240

Least Common Multiple (LCM) of 37952 and 37960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37952 and 37960. First we will calculate the prime factors of 37952 and 37960.

Prime Factorization of 37952

Prime Factorization of 37960

Now multiplying the highest exponent prime factors to calculate the LCM of 37952 and 37960.

LCM(37952,37960) = 2⁶ × 593¹ × 5¹ × 13¹ × 73¹
LCM(37952,37960) = 180082240