What is the Least Common Multiple of 37505 and 37512?

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 37505 and 37512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37505 and 37512, than apply into the LCM equation.

GCF(37505,37512) = 1
LCM(37505,37512) = ( 37505 × 37512) / 1
LCM(37505,37512) = 1406887560 / 1
LCM(37505,37512) = 1406887560

Least Common Multiple (LCM) of 37505 and 37512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37505 and 37512. First we will calculate the prime factors of 37505 and 37512.

Prime Factorization of 37505

Prime Factorization of 37512

Now multiplying the highest exponent prime factors to calculate the LCM of 37505 and 37512.

LCM(37505,37512) = 5¹ × 13¹ × 577¹ × 2³ × 3² × 521¹
LCM(37505,37512) = 1406887560