What is the Least Common Multiple of 37638 and 37653?

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 37638 and 37653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37638 and 37653, than apply into the LCM equation.

GCF(37638,37653) = 3
LCM(37638,37653) = ( 37638 × 37653) / 3
LCM(37638,37653) = 1417183614 / 3
LCM(37638,37653) = 472394538

Least Common Multiple (LCM) of 37638 and 37653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37638 and 37653. First we will calculate the prime factors of 37638 and 37653.

Prime Factorization of 37638

Prime Factorization of 37653

Now multiplying the highest exponent prime factors to calculate the LCM of 37638 and 37653.

LCM(37638,37653) = 2¹ × 3³ × 17¹ × 41¹ × 7¹ × 11¹ × 163¹
LCM(37638,37653) = 472394538