What is the Least Common Multiple of 6174 and 6181?

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 6181 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 6181, than apply into the LCM equation.

GCF(6174,6181) = 7
LCM(6174,6181) = ( 6174 × 6181) / 7
LCM(6174,6181) = 38161494 / 7
LCM(6174,6181) = 5451642

Least Common Multiple (LCM) of 6174 and 6181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6174 and 6181. First we will calculate the prime factors of 6174 and 6181.

Prime Factorization of 6174

Prime Factorization of 6181

Now multiplying the highest exponent prime factors to calculate the LCM of 6174 and 6181.

LCM(6174,6181) = 2¹ × 3² × 7³ × 883¹
LCM(6174,6181) = 5451642