What is the Least Common Multiple of 42116 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 42116 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 42116 and 42129, than apply into the LCM equation.

GCF(42116,42129) = 1
LCM(42116,42129) = ( 42116 × 42129) / 1
LCM(42116,42129) = 1774304964 / 1
LCM(42116,42129) = 1774304964

Least Common Multiple (LCM) of 42116 and 42129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42116 and 42129. First we will calculate the prime factors of 42116 and 42129.

Prime Factorization of 42116

Prime Factorization of 42129

Now multiplying the highest exponent prime factors to calculate the LCM of 42116 and 42129.

LCM(42116,42129) = 2² × 10529¹ × 3² × 31¹ × 151¹
LCM(42116,42129) = 1774304964