What is the Least Common Multiple of 70413 and 70425?

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 70413 and 70425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70413 and 70425, than apply into the LCM equation.

GCF(70413,70425) = 3
LCM(70413,70425) = ( 70413 × 70425) / 3
LCM(70413,70425) = 4958835525 / 3
LCM(70413,70425) = 1652945175

Least Common Multiple (LCM) of 70413 and 70425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70413 and 70425. First we will calculate the prime factors of 70413 and 70425.

Prime Factorization of 70413

Prime Factorization of 70425

Now multiplying the highest exponent prime factors to calculate the LCM of 70413 and 70425.

LCM(70413,70425) = 3² × 7² × 479¹ × 5² × 313¹
LCM(70413,70425) = 1652945175