What is the Least Common Multiple of 84624 and 84630?

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 84624 and 84630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84624 and 84630, than apply into the LCM equation.

GCF(84624,84630) = 6
LCM(84624,84630) = ( 84624 × 84630) / 6
LCM(84624,84630) = 7161729120 / 6
LCM(84624,84630) = 1193621520

Least Common Multiple (LCM) of 84624 and 84630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84624 and 84630. First we will calculate the prime factors of 84624 and 84630.

Prime Factorization of 84624

Prime Factorization of 84630

Now multiplying the highest exponent prime factors to calculate the LCM of 84624 and 84630.

LCM(84624,84630) = 2⁴ × 3¹ × 41¹ × 43¹ × 5¹ × 7¹ × 13¹ × 31¹
LCM(84624,84630) = 1193621520