What is the Least Common Multiple of 84846 and 84860?

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 84846 and 84860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84846 and 84860, than apply into the LCM equation.

GCF(84846,84860) = 2
LCM(84846,84860) = ( 84846 × 84860) / 2
LCM(84846,84860) = 7200031560 / 2
LCM(84846,84860) = 3600015780

Least Common Multiple (LCM) of 84846 and 84860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84846 and 84860. First we will calculate the prime factors of 84846 and 84860.

Prime Factorization of 84846

Prime Factorization of 84860

Now multiplying the highest exponent prime factors to calculate the LCM of 84846 and 84860.

LCM(84846,84860) = 2² × 3¹ × 79¹ × 179¹ × 5¹ × 4243¹
LCM(84846,84860) = 3600015780