What is the Least Common Multiple of 70135 and 70141?

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 70141 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 70141, than apply into the LCM equation.

GCF(70135,70141) = 1
LCM(70135,70141) = ( 70135 × 70141) / 1
LCM(70135,70141) = 4919339035 / 1
LCM(70135,70141) = 4919339035

Least Common Multiple (LCM) of 70135 and 70141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70135 and 70141. First we will calculate the prime factors of 70135 and 70141.

Prime Factorization of 70135

Prime Factorization of 70141

Now multiplying the highest exponent prime factors to calculate the LCM of 70135 and 70141.

LCM(70135,70141) = 5¹ × 13² × 83¹ × 70141¹
LCM(70135,70141) = 4919339035