What is the Least Common Multiple of 42200 and 42214?

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 42200 and 42214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42200 and 42214, than apply into the LCM equation.

GCF(42200,42214) = 2
LCM(42200,42214) = ( 42200 × 42214) / 2
LCM(42200,42214) = 1781430800 / 2
LCM(42200,42214) = 890715400

Least Common Multiple (LCM) of 42200 and 42214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42200 and 42214. First we will calculate the prime factors of 42200 and 42214.

Prime Factorization of 42200

Prime Factorization of 42214

Now multiplying the highest exponent prime factors to calculate the LCM of 42200 and 42214.

LCM(42200,42214) = 2³ × 5² × 211¹ × 21107¹
LCM(42200,42214) = 890715400