What is the Least Common Multiple of 37205 and 37212?

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 37205 and 37212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37205 and 37212, than apply into the LCM equation.

GCF(37205,37212) = 7
LCM(37205,37212) = ( 37205 × 37212) / 7
LCM(37205,37212) = 1384472460 / 7
LCM(37205,37212) = 197781780

Least Common Multiple (LCM) of 37205 and 37212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37205 and 37212. First we will calculate the prime factors of 37205 and 37212.

Prime Factorization of 37205

Prime Factorization of 37212

Now multiplying the highest exponent prime factors to calculate the LCM of 37205 and 37212.

LCM(37205,37212) = 5¹ × 7¹ × 1063¹ × 2² × 3¹ × 443¹
LCM(37205,37212) = 197781780