What is the Least Common Multiple of 37653 and 37671?

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 37653 and 37671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37653 and 37671, than apply into the LCM equation.

GCF(37653,37671) = 3
LCM(37653,37671) = ( 37653 × 37671) / 3
LCM(37653,37671) = 1418426163 / 3
LCM(37653,37671) = 472808721

Least Common Multiple (LCM) of 37653 and 37671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37653 and 37671. First we will calculate the prime factors of 37653 and 37671.

Prime Factorization of 37653

Prime Factorization of 37671

Now multiplying the highest exponent prime factors to calculate the LCM of 37653 and 37671.

LCM(37653,37671) = 3¹ × 7¹ × 11¹ × 163¹ × 29¹ × 433¹
LCM(37653,37671) = 472808721