What is the Least Common Multiple of 70425 and 70435?

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 70425 and 70435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70425 and 70435, than apply into the LCM equation.

GCF(70425,70435) = 5
LCM(70425,70435) = ( 70425 × 70435) / 5
LCM(70425,70435) = 4960384875 / 5
LCM(70425,70435) = 992076975

Least Common Multiple (LCM) of 70425 and 70435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70425 and 70435. First we will calculate the prime factors of 70425 and 70435.

Prime Factorization of 70425

Prime Factorization of 70435

Now multiplying the highest exponent prime factors to calculate the LCM of 70425 and 70435.

LCM(70425,70435) = 3² × 5² × 313¹ × 14087¹
LCM(70425,70435) = 992076975