What is the Least Common Multiple of 42154 and 42163?

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 42154 and 42163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42154 and 42163, than apply into the LCM equation.

GCF(42154,42163) = 1
LCM(42154,42163) = ( 42154 × 42163) / 1
LCM(42154,42163) = 1777339102 / 1
LCM(42154,42163) = 1777339102

Least Common Multiple (LCM) of 42154 and 42163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42154 and 42163. First we will calculate the prime factors of 42154 and 42163.

Prime Factorization of 42154

Prime Factorization of 42163

Now multiplying the highest exponent prime factors to calculate the LCM of 42154 and 42163.

LCM(42154,42163) = 2¹ × 7¹ × 3011¹ × 11¹ × 3833¹
LCM(42154,42163) = 1777339102