What is the Least Common Multiple of 84590 and 84610?

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 84590 and 84610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84590 and 84610, than apply into the LCM equation.

GCF(84590,84610) = 10
LCM(84590,84610) = ( 84590 × 84610) / 10
LCM(84590,84610) = 7157159900 / 10
LCM(84590,84610) = 715715990

Least Common Multiple (LCM) of 84590 and 84610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84590 and 84610. First we will calculate the prime factors of 84590 and 84610.

Prime Factorization of 84590

Prime Factorization of 84610

Now multiplying the highest exponent prime factors to calculate the LCM of 84590 and 84610.

LCM(84590,84610) = 2¹ × 5¹ × 11¹ × 769¹ × 8461¹
LCM(84590,84610) = 715715990