What is the Least Common Multiple of 70475 and 70489?

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 70475 and 70489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70475 and 70489, than apply into the LCM equation.

GCF(70475,70489) = 1
LCM(70475,70489) = ( 70475 × 70489) / 1
LCM(70475,70489) = 4967712275 / 1
LCM(70475,70489) = 4967712275

Least Common Multiple (LCM) of 70475 and 70489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70475 and 70489. First we will calculate the prime factors of 70475 and 70489.

Prime Factorization of 70475

Prime Factorization of 70489

Now multiplying the highest exponent prime factors to calculate the LCM of 70475 and 70489.

LCM(70475,70489) = 5² × 2819¹ × 70489¹
LCM(70475,70489) = 4967712275