What is the Least Common Multiple of 39072 and 39080?

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 39072 and 39080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39072 and 39080, than apply into the LCM equation.

GCF(39072,39080) = 8
LCM(39072,39080) = ( 39072 × 39080) / 8
LCM(39072,39080) = 1526933760 / 8
LCM(39072,39080) = 190866720

Least Common Multiple (LCM) of 39072 and 39080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39072 and 39080. First we will calculate the prime factors of 39072 and 39080.

Prime Factorization of 39072

Prime Factorization of 39080

Now multiplying the highest exponent prime factors to calculate the LCM of 39072 and 39080.

LCM(39072,39080) = 2⁵ × 3¹ × 11¹ × 37¹ × 5¹ × 977¹
LCM(39072,39080) = 190866720