What is the Least Common Multiple of 37404 and 37420?

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 37404 and 37420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37404 and 37420, than apply into the LCM equation.

GCF(37404,37420) = 4
LCM(37404,37420) = ( 37404 × 37420) / 4
LCM(37404,37420) = 1399657680 / 4
LCM(37404,37420) = 349914420

Least Common Multiple (LCM) of 37404 and 37420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37404 and 37420. First we will calculate the prime factors of 37404 and 37420.

Prime Factorization of 37404

Prime Factorization of 37420

Now multiplying the highest exponent prime factors to calculate the LCM of 37404 and 37420.

LCM(37404,37420) = 2² × 3² × 1039¹ × 5¹ × 1871¹
LCM(37404,37420) = 349914420