What is the Least Common Multiple of 84048 and 84057?

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 84048 and 84057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84048 and 84057, than apply into the LCM equation.

GCF(84048,84057) = 3
LCM(84048,84057) = ( 84048 × 84057) / 3
LCM(84048,84057) = 7064822736 / 3
LCM(84048,84057) = 2354940912

Least Common Multiple (LCM) of 84048 and 84057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84048 and 84057. First we will calculate the prime factors of 84048 and 84057.

Prime Factorization of 84048

Prime Factorization of 84057

Now multiplying the highest exponent prime factors to calculate the LCM of 84048 and 84057.

LCM(84048,84057) = 2⁴ × 3¹ × 17¹ × 103¹ × 28019¹
LCM(84048,84057) = 2354940912