What is the Least Common Multiple of 37896 and 37914?

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 37896 and 37914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37896 and 37914, than apply into the LCM equation.

GCF(37896,37914) = 6
LCM(37896,37914) = ( 37896 × 37914) / 6
LCM(37896,37914) = 1436788944 / 6
LCM(37896,37914) = 239464824

Least Common Multiple (LCM) of 37896 and 37914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37896 and 37914. First we will calculate the prime factors of 37896 and 37914.

Prime Factorization of 37896

Prime Factorization of 37914

Now multiplying the highest exponent prime factors to calculate the LCM of 37896 and 37914.

LCM(37896,37914) = 2³ × 3¹ × 1579¹ × 71¹ × 89¹
LCM(37896,37914) = 239464824