What is the Least Common Multiple of 84852 and 84864?

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 84852 and 84864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84852 and 84864, than apply into the LCM equation.

GCF(84852,84864) = 12
LCM(84852,84864) = ( 84852 × 84864) / 12
LCM(84852,84864) = 7200880128 / 12
LCM(84852,84864) = 600073344

Least Common Multiple (LCM) of 84852 and 84864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84852 and 84864. First we will calculate the prime factors of 84852 and 84864.

Prime Factorization of 84852

Prime Factorization of 84864

Now multiplying the highest exponent prime factors to calculate the LCM of 84852 and 84864.

LCM(84852,84864) = 2⁷ × 3² × 2357¹ × 13¹ × 17¹
LCM(84852,84864) = 600073344