What is the Least Common Multiple of 37458 and 37473?

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 37458 and 37473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37458 and 37473, than apply into the LCM equation.

GCF(37458,37473) = 3
LCM(37458,37473) = ( 37458 × 37473) / 3
LCM(37458,37473) = 1403663634 / 3
LCM(37458,37473) = 467887878

Least Common Multiple (LCM) of 37458 and 37473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37458 and 37473. First we will calculate the prime factors of 37458 and 37473.

Prime Factorization of 37458

Prime Factorization of 37473

Now multiplying the highest exponent prime factors to calculate the LCM of 37458 and 37473.

LCM(37458,37473) = 2¹ × 3² × 2081¹ × 12491¹
LCM(37458,37473) = 467887878