What is the Least Common Multiple of 84510 and 84528?

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 84510 and 84528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84510 and 84528, than apply into the LCM equation.

GCF(84510,84528) = 18
LCM(84510,84528) = ( 84510 × 84528) / 18
LCM(84510,84528) = 7143461280 / 18
LCM(84510,84528) = 396858960

Least Common Multiple (LCM) of 84510 and 84528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84510 and 84528. First we will calculate the prime factors of 84510 and 84528.

Prime Factorization of 84510

Prime Factorization of 84528

Now multiplying the highest exponent prime factors to calculate the LCM of 84510 and 84528.

LCM(84510,84528) = 2⁴ × 3³ × 5¹ × 313¹ × 587¹
LCM(84510,84528) = 396858960