What is the Least Common Multiple of 37824 and 37836?

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 37824 and 37836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37824 and 37836, than apply into the LCM equation.

GCF(37824,37836) = 12
LCM(37824,37836) = ( 37824 × 37836) / 12
LCM(37824,37836) = 1431108864 / 12
LCM(37824,37836) = 119259072

Least Common Multiple (LCM) of 37824 and 37836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37824 and 37836. First we will calculate the prime factors of 37824 and 37836.

Prime Factorization of 37824

Prime Factorization of 37836

Now multiplying the highest exponent prime factors to calculate the LCM of 37824 and 37836.

LCM(37824,37836) = 2⁶ × 3² × 197¹ × 1051¹
LCM(37824,37836) = 119259072