What is the Least Common Multiple of 42194 and 42208?

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 42194 and 42208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42194 and 42208, than apply into the LCM equation.

GCF(42194,42208) = 2
LCM(42194,42208) = ( 42194 × 42208) / 2
LCM(42194,42208) = 1780924352 / 2
LCM(42194,42208) = 890462176

Least Common Multiple (LCM) of 42194 and 42208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42194 and 42208. First we will calculate the prime factors of 42194 and 42208.

Prime Factorization of 42194

Prime Factorization of 42208

Now multiplying the highest exponent prime factors to calculate the LCM of 42194 and 42208.

LCM(42194,42208) = 2⁵ × 17² × 73¹ × 1319¹
LCM(42194,42208) = 890462176