What is the Least Common Multiple of 37960 and 37965?

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 37960 and 37965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37960 and 37965, than apply into the LCM equation.

GCF(37960,37965) = 5
LCM(37960,37965) = ( 37960 × 37965) / 5
LCM(37960,37965) = 1441151400 / 5
LCM(37960,37965) = 288230280

Least Common Multiple (LCM) of 37960 and 37965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37960 and 37965. First we will calculate the prime factors of 37960 and 37965.

Prime Factorization of 37960

Prime Factorization of 37965

Now multiplying the highest exponent prime factors to calculate the LCM of 37960 and 37965.

LCM(37960,37965) = 2³ × 5¹ × 13¹ × 73¹ × 3¹ × 2531¹
LCM(37960,37965) = 288230280