What is the Least Common Multiple of 37605 and 37625?

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 37605 and 37625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37605 and 37625, than apply into the LCM equation.

GCF(37605,37625) = 5
LCM(37605,37625) = ( 37605 × 37625) / 5
LCM(37605,37625) = 1414888125 / 5
LCM(37605,37625) = 282977625

Least Common Multiple (LCM) of 37605 and 37625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37605 and 37625. First we will calculate the prime factors of 37605 and 37625.

Prime Factorization of 37605

Prime Factorization of 37625

Now multiplying the highest exponent prime factors to calculate the LCM of 37605 and 37625.

LCM(37605,37625) = 3¹ × 5³ × 23¹ × 109¹ × 7¹ × 43¹
LCM(37605,37625) = 282977625