What is the Least Common Multiple of 84120 and 84124?

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 84120 and 84124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84120 and 84124, than apply into the LCM equation.

GCF(84120,84124) = 4
LCM(84120,84124) = ( 84120 × 84124) / 4
LCM(84120,84124) = 7076510880 / 4
LCM(84120,84124) = 1769127720

Least Common Multiple (LCM) of 84120 and 84124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84120 and 84124. First we will calculate the prime factors of 84120 and 84124.

Prime Factorization of 84120

Prime Factorization of 84124

Now multiplying the highest exponent prime factors to calculate the LCM of 84120 and 84124.

LCM(84120,84124) = 2³ × 3¹ × 5¹ × 701¹ × 21031¹
LCM(84120,84124) = 1769127720