What is the Least Common Multiple of 84639 and 84649?

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 84649 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 84649, than apply into the LCM equation.

GCF(84639,84649) = 1
LCM(84639,84649) = ( 84639 × 84649) / 1
LCM(84639,84649) = 7164606711 / 1
LCM(84639,84649) = 7164606711

Least Common Multiple (LCM) of 84639 and 84649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84639 and 84649. First we will calculate the prime factors of 84639 and 84649.

Prime Factorization of 84639

Prime Factorization of 84649

Now multiplying the highest exponent prime factors to calculate the LCM of 84639 and 84649.

LCM(84639,84649) = 3¹ × 89¹ × 317¹ × 84649¹
LCM(84639,84649) = 7164606711