What is the Least Common Multiple of 70138 and 70145?

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 70145 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 70145, than apply into the LCM equation.

GCF(70138,70145) = 1
LCM(70138,70145) = ( 70138 × 70145) / 1
LCM(70138,70145) = 4919830010 / 1
LCM(70138,70145) = 4919830010

Least Common Multiple (LCM) of 70138 and 70145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70138 and 70145. First we will calculate the prime factors of 70138 and 70145.

Prime Factorization of 70138

Prime Factorization of 70145

Now multiplying the highest exponent prime factors to calculate the LCM of 70138 and 70145.

LCM(70138,70145) = 2¹ × 35069¹ × 5¹ × 14029¹
LCM(70138,70145) = 4919830010