What is the Least Common Multiple of 42111 and 42129?

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 42111 and 42129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42111 and 42129, than apply into the LCM equation.

GCF(42111,42129) = 9
LCM(42111,42129) = ( 42111 × 42129) / 9
LCM(42111,42129) = 1774094319 / 9
LCM(42111,42129) = 197121591

Least Common Multiple (LCM) of 42111 and 42129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42111 and 42129. First we will calculate the prime factors of 42111 and 42129.

Prime Factorization of 42111

Prime Factorization of 42129

Now multiplying the highest exponent prime factors to calculate the LCM of 42111 and 42129.

LCM(42111,42129) = 3² × 4679¹ × 31¹ × 151¹
LCM(42111,42129) = 197121591