What is the Least Common Multiple of 70143 and 70157?

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 70143 and 70157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70143 and 70157, than apply into the LCM equation.

GCF(70143,70157) = 1
LCM(70143,70157) = ( 70143 × 70157) / 1
LCM(70143,70157) = 4921022451 / 1
LCM(70143,70157) = 4921022451

Least Common Multiple (LCM) of 70143 and 70157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70143 and 70157. First we will calculate the prime factors of 70143 and 70157.

Prime Factorization of 70143

Prime Factorization of 70157

Now multiplying the highest exponent prime factors to calculate the LCM of 70143 and 70157.

LCM(70143,70157) = 3¹ × 103¹ × 227¹ × 70157¹
LCM(70143,70157) = 4921022451