What is the Least Common Multiple of 84588 and 84597?

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 84588 and 84597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84588 and 84597, than apply into the LCM equation.

GCF(84588,84597) = 3
LCM(84588,84597) = ( 84588 × 84597) / 3
LCM(84588,84597) = 7155891036 / 3
LCM(84588,84597) = 2385297012

Least Common Multiple (LCM) of 84588 and 84597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84588 and 84597. First we will calculate the prime factors of 84588 and 84597.

Prime Factorization of 84588

Prime Factorization of 84597

Now multiplying the highest exponent prime factors to calculate the LCM of 84588 and 84597.

LCM(84588,84597) = 2² × 3¹ × 7¹ × 19¹ × 53¹ × 163¹ × 173¹
LCM(84588,84597) = 2385297012