What is the Least Common Multiple of 84654 and 84671?

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 84654 and 84671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84654 and 84671, than apply into the LCM equation.

GCF(84654,84671) = 1
LCM(84654,84671) = ( 84654 × 84671) / 1
LCM(84654,84671) = 7167738834 / 1
LCM(84654,84671) = 7167738834

Least Common Multiple (LCM) of 84654 and 84671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84654 and 84671. First we will calculate the prime factors of 84654 and 84671.

Prime Factorization of 84654

Prime Factorization of 84671

Now multiplying the highest exponent prime factors to calculate the LCM of 84654 and 84671.

LCM(84654,84671) = 2¹ × 3² × 4703¹ × 227¹ × 373¹
LCM(84654,84671) = 7167738834