What is the Least Common Multiple of 6174 and 6192?

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 6174 and 6192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6174 and 6192, than apply into the LCM equation.

GCF(6174,6192) = 18
LCM(6174,6192) = ( 6174 × 6192) / 18
LCM(6174,6192) = 38229408 / 18
LCM(6174,6192) = 2123856

Least Common Multiple (LCM) of 6174 and 6192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6174 and 6192. First we will calculate the prime factors of 6174 and 6192.

Prime Factorization of 6174

Prime Factorization of 6192

Now multiplying the highest exponent prime factors to calculate the LCM of 6174 and 6192.

LCM(6174,6192) = 2⁴ × 3² × 7³ × 43¹
LCM(6174,6192) = 2123856