What is the Least Common Multiple of 70125 and 70135?

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 70125 and 70135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70125 and 70135, than apply into the LCM equation.

GCF(70125,70135) = 5
LCM(70125,70135) = ( 70125 × 70135) / 5
LCM(70125,70135) = 4918216875 / 5
LCM(70125,70135) = 983643375

Least Common Multiple (LCM) of 70125 and 70135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70125 and 70135. First we will calculate the prime factors of 70125 and 70135.

Prime Factorization of 70125

Prime Factorization of 70135

Now multiplying the highest exponent prime factors to calculate the LCM of 70125 and 70135.

LCM(70125,70135) = 3¹ × 5³ × 11¹ × 17¹ × 13² × 83¹
LCM(70125,70135) = 983643375