What is the Least Common Multiple of 70135 and 70143?

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 70135 and 70143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70135 and 70143, than apply into the LCM equation.

GCF(70135,70143) = 1
LCM(70135,70143) = ( 70135 × 70143) / 1
LCM(70135,70143) = 4919479305 / 1
LCM(70135,70143) = 4919479305

Least Common Multiple (LCM) of 70135 and 70143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70135 and 70143. First we will calculate the prime factors of 70135 and 70143.

Prime Factorization of 70135

Prime Factorization of 70143

Now multiplying the highest exponent prime factors to calculate the LCM of 70135 and 70143.

LCM(70135,70143) = 5¹ × 13² × 83¹ × 3¹ × 103¹ × 227¹
LCM(70135,70143) = 4919479305