What is the Least Common Multiple of 70138 and 70142?

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 70138 and 70142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70138 and 70142, than apply into the LCM equation.

GCF(70138,70142) = 2
LCM(70138,70142) = ( 70138 × 70142) / 2
LCM(70138,70142) = 4919619596 / 2
LCM(70138,70142) = 2459809798

Least Common Multiple (LCM) of 70138 and 70142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70138 and 70142. First we will calculate the prime factors of 70138 and 70142.

Prime Factorization of 70138

Prime Factorization of 70142

Now multiplying the highest exponent prime factors to calculate the LCM of 70138 and 70142.

LCM(70138,70142) = 2¹ × 35069¹ × 17¹ × 2063¹
LCM(70138,70142) = 2459809798