What is the Least Common Multiple of 84597 and 84616?

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 84597 and 84616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84597 and 84616, than apply into the LCM equation.

GCF(84597,84616) = 1
LCM(84597,84616) = ( 84597 × 84616) / 1
LCM(84597,84616) = 7158259752 / 1
LCM(84597,84616) = 7158259752

Least Common Multiple (LCM) of 84597 and 84616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84597 and 84616. First we will calculate the prime factors of 84597 and 84616.

Prime Factorization of 84597

Prime Factorization of 84616

Now multiplying the highest exponent prime factors to calculate the LCM of 84597 and 84616.

LCM(84597,84616) = 3¹ × 163¹ × 173¹ × 2³ × 7¹ × 1511¹
LCM(84597,84616) = 7158259752