What is the Least Common Multiple of 7146 and 7157?

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 7146 and 7157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7146 and 7157, than apply into the LCM equation.

GCF(7146,7157) = 1
LCM(7146,7157) = ( 7146 × 7157) / 1
LCM(7146,7157) = 51143922 / 1
LCM(7146,7157) = 51143922

Least Common Multiple (LCM) of 7146 and 7157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7146 and 7157. First we will calculate the prime factors of 7146 and 7157.

Prime Factorization of 7146

Prime Factorization of 7157

Now multiplying the highest exponent prime factors to calculate the LCM of 7146 and 7157.

LCM(7146,7157) = 2¹ × 3² × 397¹ × 17¹ × 421¹
LCM(7146,7157) = 51143922