What is the Least Common Multiple of 84628 and 84642?

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 84628 and 84642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84628 and 84642, than apply into the LCM equation.

GCF(84628,84642) = 2
LCM(84628,84642) = ( 84628 × 84642) / 2
LCM(84628,84642) = 7163083176 / 2
LCM(84628,84642) = 3581541588

Least Common Multiple (LCM) of 84628 and 84642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84628 and 84642. First we will calculate the prime factors of 84628 and 84642.

Prime Factorization of 84628

Prime Factorization of 84642

Now multiplying the highest exponent prime factors to calculate the LCM of 84628 and 84642.

LCM(84628,84642) = 2² × 21157¹ × 3¹ × 14107¹
LCM(84628,84642) = 3581541588