What is the Least Common Multiple of 42214 and 42233?

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 42214 and 42233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42214 and 42233, than apply into the LCM equation.

GCF(42214,42233) = 1
LCM(42214,42233) = ( 42214 × 42233) / 1
LCM(42214,42233) = 1782823862 / 1
LCM(42214,42233) = 1782823862

Least Common Multiple (LCM) of 42214 and 42233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42214 and 42233. First we will calculate the prime factors of 42214 and 42233.

Prime Factorization of 42214

Prime Factorization of 42233

Now multiplying the highest exponent prime factors to calculate the LCM of 42214 and 42233.

LCM(42214,42233) = 2¹ × 21107¹ × 157¹ × 269¹
LCM(42214,42233) = 1782823862