What is the Least Common Multiple of 70122 and 70134?

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 70122 and 70134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70122 and 70134, than apply into the LCM equation.

GCF(70122,70134) = 6
LCM(70122,70134) = ( 70122 × 70134) / 6
LCM(70122,70134) = 4917936348 / 6
LCM(70122,70134) = 819656058

Least Common Multiple (LCM) of 70122 and 70134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70122 and 70134. First we will calculate the prime factors of 70122 and 70134.

Prime Factorization of 70122

Prime Factorization of 70134

Now multiplying the highest exponent prime factors to calculate the LCM of 70122 and 70134.

LCM(70122,70134) = 2¹ × 3¹ × 13¹ × 29¹ × 31¹ × 11689¹
LCM(70122,70134) = 819656058