What is the Least Common Multiple of 70489 and 70495?

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 70489 and 70495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70489 and 70495, than apply into the LCM equation.

GCF(70489,70495) = 1
LCM(70489,70495) = ( 70489 × 70495) / 1
LCM(70489,70495) = 4969122055 / 1
LCM(70489,70495) = 4969122055

Least Common Multiple (LCM) of 70489 and 70495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70489 and 70495. First we will calculate the prime factors of 70489 and 70495.

Prime Factorization of 70489

Prime Factorization of 70495

Now multiplying the highest exponent prime factors to calculate the LCM of 70489 and 70495.

LCM(70489,70495) = 70489¹ × 5¹ × 23¹ × 613¹
LCM(70489,70495) = 4969122055