What is the Least Common Multiple of 84462 and 84477?

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 84462 and 84477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84462 and 84477, than apply into the LCM equation.

GCF(84462,84477) = 3
LCM(84462,84477) = ( 84462 × 84477) / 3
LCM(84462,84477) = 7135096374 / 3
LCM(84462,84477) = 2378365458

Least Common Multiple (LCM) of 84462 and 84477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84462 and 84477. First we will calculate the prime factors of 84462 and 84477.

Prime Factorization of 84462

Prime Factorization of 84477

Now multiplying the highest exponent prime factors to calculate the LCM of 84462 and 84477.

LCM(84462,84477) = 2¹ × 3¹ × 7¹ × 2011¹ × 29¹ × 971¹
LCM(84462,84477) = 2378365458