What is the Least Common Multiple of 70115 and 70131?

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 70115 and 70131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70115 and 70131, than apply into the LCM equation.

GCF(70115,70131) = 1
LCM(70115,70131) = ( 70115 × 70131) / 1
LCM(70115,70131) = 4917235065 / 1
LCM(70115,70131) = 4917235065

Least Common Multiple (LCM) of 70115 and 70131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70115 and 70131. First we will calculate the prime factors of 70115 and 70131.

Prime Factorization of 70115

Prime Factorization of 70131

Now multiplying the highest exponent prime factors to calculate the LCM of 70115 and 70131.

LCM(70115,70131) = 5¹ × 37¹ × 379¹ × 3¹ × 97¹ × 241¹
LCM(70115,70131) = 4917235065