What is the Least Common Multiple of 42190 and 42204?

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 42190 and 42204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42190 and 42204, than apply into the LCM equation.

GCF(42190,42204) = 2
LCM(42190,42204) = ( 42190 × 42204) / 2
LCM(42190,42204) = 1780586760 / 2
LCM(42190,42204) = 890293380

Least Common Multiple (LCM) of 42190 and 42204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42190 and 42204. First we will calculate the prime factors of 42190 and 42204.

Prime Factorization of 42190

Prime Factorization of 42204

Now multiplying the highest exponent prime factors to calculate the LCM of 42190 and 42204.

LCM(42190,42204) = 2² × 5¹ × 4219¹ × 3¹ × 3517¹
LCM(42190,42204) = 890293380