What is the Least Common Multiple of 42108 and 42126?

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 42108 and 42126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42108 and 42126, than apply into the LCM equation.

GCF(42108,42126) = 6
LCM(42108,42126) = ( 42108 × 42126) / 6
LCM(42108,42126) = 1773841608 / 6
LCM(42108,42126) = 295640268

Least Common Multiple (LCM) of 42108 and 42126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42108 and 42126. First we will calculate the prime factors of 42108 and 42126.

Prime Factorization of 42108

Prime Factorization of 42126

Now multiplying the highest exponent prime factors to calculate the LCM of 42108 and 42126.

LCM(42108,42126) = 2² × 3¹ × 11² × 29¹ × 7¹ × 17¹ × 59¹
LCM(42108,42126) = 295640268