What is the Least Common Multiple of 70598 and 70615?

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 70598 and 70615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70598 and 70615, than apply into the LCM equation.

GCF(70598,70615) = 1
LCM(70598,70615) = ( 70598 × 70615) / 1
LCM(70598,70615) = 4985277770 / 1
LCM(70598,70615) = 4985277770

Least Common Multiple (LCM) of 70598 and 70615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70598 and 70615. First we will calculate the prime factors of 70598 and 70615.

Prime Factorization of 70598

Prime Factorization of 70615

Now multiplying the highest exponent prime factors to calculate the LCM of 70598 and 70615.

LCM(70598,70615) = 2¹ × 11¹ × 3209¹ × 5¹ × 29¹ × 487¹
LCM(70598,70615) = 4985277770