What is the Least Common Multiple of 84630 and 84648?

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 84630 and 84648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84630 and 84648, than apply into the LCM equation.

GCF(84630,84648) = 6
LCM(84630,84648) = ( 84630 × 84648) / 6
LCM(84630,84648) = 7163760240 / 6
LCM(84630,84648) = 1193960040

Least Common Multiple (LCM) of 84630 and 84648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84630 and 84648. First we will calculate the prime factors of 84630 and 84648.

Prime Factorization of 84630

Prime Factorization of 84648

Now multiplying the highest exponent prime factors to calculate the LCM of 84630 and 84648.

LCM(84630,84648) = 2³ × 3¹ × 5¹ × 7¹ × 13¹ × 31¹ × 3527¹
LCM(84630,84648) = 1193960040