What is the Least Common Multiple of 70258 and 70271?

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 70258 and 70271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70258 and 70271, than apply into the LCM equation.

GCF(70258,70271) = 1
LCM(70258,70271) = ( 70258 × 70271) / 1
LCM(70258,70271) = 4937099918 / 1
LCM(70258,70271) = 4937099918

Least Common Multiple (LCM) of 70258 and 70271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70258 and 70271. First we will calculate the prime factors of 70258 and 70271.

Prime Factorization of 70258

Prime Factorization of 70271

Now multiplying the highest exponent prime factors to calculate the LCM of 70258 and 70271.

LCM(70258,70271) = 2¹ × 35129¹ × 70271¹
LCM(70258,70271) = 4937099918