What is the Least Common Multiple of 84108 and 84123?

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 84108 and 84123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84108 and 84123, than apply into the LCM equation.

GCF(84108,84123) = 3
LCM(84108,84123) = ( 84108 × 84123) / 3
LCM(84108,84123) = 7075417284 / 3
LCM(84108,84123) = 2358472428

Least Common Multiple (LCM) of 84108 and 84123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84108 and 84123. First we will calculate the prime factors of 84108 and 84123.

Prime Factorization of 84108

Prime Factorization of 84123

Now multiplying the highest exponent prime factors to calculate the LCM of 84108 and 84123.

LCM(84108,84123) = 2² × 3² × 43¹ × 163¹ × 13¹ × 719¹
LCM(84108,84123) = 2358472428