What is the Least Common Multiple of 42204 and 42221?

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 42204 and 42221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42204 and 42221, than apply into the LCM equation.

GCF(42204,42221) = 1
LCM(42204,42221) = ( 42204 × 42221) / 1
LCM(42204,42221) = 1781895084 / 1
LCM(42204,42221) = 1781895084

Least Common Multiple (LCM) of 42204 and 42221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42204 and 42221. First we will calculate the prime factors of 42204 and 42221.

Prime Factorization of 42204

Prime Factorization of 42221

Now multiplying the highest exponent prime factors to calculate the LCM of 42204 and 42221.

LCM(42204,42221) = 2² × 3¹ × 3517¹ × 42221¹
LCM(42204,42221) = 1781895084