What is the Least Common Multiple of 84495 and 84504?

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 84495 and 84504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84495 and 84504, than apply into the LCM equation.

GCF(84495,84504) = 3
LCM(84495,84504) = ( 84495 × 84504) / 3
LCM(84495,84504) = 7140165480 / 3
LCM(84495,84504) = 2380055160

Least Common Multiple (LCM) of 84495 and 84504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84495 and 84504. First we will calculate the prime factors of 84495 and 84504.

Prime Factorization of 84495

Prime Factorization of 84504

Now multiplying the highest exponent prime factors to calculate the LCM of 84495 and 84504.

LCM(84495,84504) = 3¹ × 5¹ × 43¹ × 131¹ × 2³ × 7¹ × 503¹
LCM(84495,84504) = 2380055160