What is the Least Common Multiple of 37212 and 37219?

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 37212 and 37219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37212 and 37219, than apply into the LCM equation.

GCF(37212,37219) = 7
LCM(37212,37219) = ( 37212 × 37219) / 7
LCM(37212,37219) = 1384993428 / 7
LCM(37212,37219) = 197856204

Least Common Multiple (LCM) of 37212 and 37219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37212 and 37219. First we will calculate the prime factors of 37212 and 37219.

Prime Factorization of 37212

Prime Factorization of 37219

Now multiplying the highest exponent prime factors to calculate the LCM of 37212 and 37219.

LCM(37212,37219) = 2² × 3¹ × 7¹ × 443¹ × 13¹ × 409¹
LCM(37212,37219) = 197856204