What is the Least Common Multiple of 37668 and 37672?

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 37668 and 37672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37668 and 37672, than apply into the LCM equation.

GCF(37668,37672) = 4
LCM(37668,37672) = ( 37668 × 37672) / 4
LCM(37668,37672) = 1419028896 / 4
LCM(37668,37672) = 354757224

Least Common Multiple (LCM) of 37668 and 37672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37668 and 37672. First we will calculate the prime factors of 37668 and 37672.

Prime Factorization of 37668

Prime Factorization of 37672

Now multiplying the highest exponent prime factors to calculate the LCM of 37668 and 37672.

LCM(37668,37672) = 2³ × 3¹ × 43¹ × 73¹ × 17¹ × 277¹
LCM(37668,37672) = 354757224