What is the Least Common Multiple of 71142 and 71157?

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 71142 and 71157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71142 and 71157, than apply into the LCM equation.

GCF(71142,71157) = 3
LCM(71142,71157) = ( 71142 × 71157) / 3
LCM(71142,71157) = 5062251294 / 3
LCM(71142,71157) = 1687417098

Least Common Multiple (LCM) of 71142 and 71157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71142 and 71157. First we will calculate the prime factors of 71142 and 71157.

Prime Factorization of 71142

Prime Factorization of 71157

Now multiplying the highest exponent prime factors to calculate the LCM of 71142 and 71157.

LCM(71142,71157) = 2¹ × 3¹ × 71¹ × 167¹ × 23719¹
LCM(71142,71157) = 1687417098