What is the Least Common Multiple of 37233 and 37242?

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 37233 and 37242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37233 and 37242, than apply into the LCM equation.

GCF(37233,37242) = 9
LCM(37233,37242) = ( 37233 × 37242) / 9
LCM(37233,37242) = 1386631386 / 9
LCM(37233,37242) = 154070154

Least Common Multiple (LCM) of 37233 and 37242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37233 and 37242. First we will calculate the prime factors of 37233 and 37242.

Prime Factorization of 37233

Prime Factorization of 37242

Now multiplying the highest exponent prime factors to calculate the LCM of 37233 and 37242.

LCM(37233,37242) = 3³ × 7¹ × 197¹ × 2¹ × 2069¹
LCM(37233,37242) = 154070154