What is the Least Common Multiple of 2174 and 2192?

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 2174 and 2192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2174 and 2192, than apply into the LCM equation.

GCF(2174,2192) = 2
LCM(2174,2192) = ( 2174 × 2192) / 2
LCM(2174,2192) = 4765408 / 2
LCM(2174,2192) = 2382704

Least Common Multiple (LCM) of 2174 and 2192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2174 and 2192. First we will calculate the prime factors of 2174 and 2192.

Prime Factorization of 2174

Prime Factorization of 2192

Now multiplying the highest exponent prime factors to calculate the LCM of 2174 and 2192.

LCM(2174,2192) = 2⁴ × 1087¹ × 137¹
LCM(2174,2192) = 2382704