What is the Least Common Multiple of 42114 and 42133?

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 42114 and 42133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42114 and 42133, than apply into the LCM equation.

GCF(42114,42133) = 1
LCM(42114,42133) = ( 42114 × 42133) / 1
LCM(42114,42133) = 1774389162 / 1
LCM(42114,42133) = 1774389162

Least Common Multiple (LCM) of 42114 and 42133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42114 and 42133. First we will calculate the prime factors of 42114 and 42133.

Prime Factorization of 42114

Prime Factorization of 42133

Now multiplying the highest exponent prime factors to calculate the LCM of 42114 and 42133.

LCM(42114,42133) = 2¹ × 3¹ × 7019¹ × 7¹ × 13¹ × 463¹
LCM(42114,42133) = 1774389162