What is the Least Common Multiple of 39012 and 39030?

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 39012 and 39030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39012 and 39030, than apply into the LCM equation.

GCF(39012,39030) = 6
LCM(39012,39030) = ( 39012 × 39030) / 6
LCM(39012,39030) = 1522638360 / 6
LCM(39012,39030) = 253773060

Least Common Multiple (LCM) of 39012 and 39030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39012 and 39030. First we will calculate the prime factors of 39012 and 39030.

Prime Factorization of 39012

Prime Factorization of 39030

Now multiplying the highest exponent prime factors to calculate the LCM of 39012 and 39030.

LCM(39012,39030) = 2² × 3¹ × 3251¹ × 5¹ × 1301¹
LCM(39012,39030) = 253773060