What is the Least Common Multiple of 42157 and 42177?

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 42157 and 42177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42157 and 42177, than apply into the LCM equation.

GCF(42157,42177) = 1
LCM(42157,42177) = ( 42157 × 42177) / 1
LCM(42157,42177) = 1778055789 / 1
LCM(42157,42177) = 1778055789

Least Common Multiple (LCM) of 42157 and 42177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42157 and 42177. First we will calculate the prime factors of 42157 and 42177.

Prime Factorization of 42157

Prime Factorization of 42177

Now multiplying the highest exponent prime factors to calculate the LCM of 42157 and 42177.

LCM(42157,42177) = 42157¹ × 3¹ × 17¹ × 827¹
LCM(42157,42177) = 1778055789