What is the Least Common Multiple of 37362 and 37377?

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 37362 and 37377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37362 and 37377, than apply into the LCM equation.

GCF(37362,37377) = 3
LCM(37362,37377) = ( 37362 × 37377) / 3
LCM(37362,37377) = 1396479474 / 3
LCM(37362,37377) = 465493158

Least Common Multiple (LCM) of 37362 and 37377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37362 and 37377. First we will calculate the prime factors of 37362 and 37377.

Prime Factorization of 37362

Prime Factorization of 37377

Now multiplying the highest exponent prime factors to calculate the LCM of 37362 and 37377.

LCM(37362,37377) = 2¹ × 3² × 13¹ × 479¹ × 4153¹
LCM(37362,37377) = 465493158