What is the Least Common Multiple of 54156 and 54174?

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 54156 and 54174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54156 and 54174, than apply into the LCM equation.

GCF(54156,54174) = 6
LCM(54156,54174) = ( 54156 × 54174) / 6
LCM(54156,54174) = 2933847144 / 6
LCM(54156,54174) = 488974524

Least Common Multiple (LCM) of 54156 and 54174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54156 and 54174. First we will calculate the prime factors of 54156 and 54174.

Prime Factorization of 54156

Prime Factorization of 54174

Now multiplying the highest exponent prime factors to calculate the LCM of 54156 and 54174.

LCM(54156,54174) = 2² × 3¹ × 4513¹ × 9029¹
LCM(54156,54174) = 488974524