What is the Least Common Multiple of 84639 and 84652?

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 84639 and 84652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84639 and 84652, than apply into the LCM equation.

GCF(84639,84652) = 1
LCM(84639,84652) = ( 84639 × 84652) / 1
LCM(84639,84652) = 7164860628 / 1
LCM(84639,84652) = 7164860628

Least Common Multiple (LCM) of 84639 and 84652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84639 and 84652. First we will calculate the prime factors of 84639 and 84652.

Prime Factorization of 84639

Prime Factorization of 84652

Now multiplying the highest exponent prime factors to calculate the LCM of 84639 and 84652.

LCM(84639,84652) = 3¹ × 89¹ × 317¹ × 2² × 21163¹
LCM(84639,84652) = 7164860628