What is the Least Common Multiple of 70580 and 70598?

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 70580 and 70598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70580 and 70598, than apply into the LCM equation.

GCF(70580,70598) = 2
LCM(70580,70598) = ( 70580 × 70598) / 2
LCM(70580,70598) = 4982806840 / 2
LCM(70580,70598) = 2491403420

Least Common Multiple (LCM) of 70580 and 70598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70580 and 70598. First we will calculate the prime factors of 70580 and 70598.

Prime Factorization of 70580

Prime Factorization of 70598

Now multiplying the highest exponent prime factors to calculate the LCM of 70580 and 70598.

LCM(70580,70598) = 2² × 5¹ × 3529¹ × 11¹ × 3209¹
LCM(70580,70598) = 2491403420