What is the Least Common Multiple of 70599 and 70610?

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 70599 and 70610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70599 and 70610, than apply into the LCM equation.

GCF(70599,70610) = 1
LCM(70599,70610) = ( 70599 × 70610) / 1
LCM(70599,70610) = 4984995390 / 1
LCM(70599,70610) = 4984995390

Least Common Multiple (LCM) of 70599 and 70610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70599 and 70610. First we will calculate the prime factors of 70599 and 70610.

Prime Factorization of 70599

Prime Factorization of 70610

Now multiplying the highest exponent prime factors to calculate the LCM of 70599 and 70610.

LCM(70599,70610) = 3¹ × 101¹ × 233¹ × 2¹ × 5¹ × 23¹ × 307¹
LCM(70599,70610) = 4984995390