What is the Least Common Multiple of 54150 and 54167?

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 54150 and 54167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54150 and 54167, than apply into the LCM equation.

GCF(54150,54167) = 1
LCM(54150,54167) = ( 54150 × 54167) / 1
LCM(54150,54167) = 2933143050 / 1
LCM(54150,54167) = 2933143050

Least Common Multiple (LCM) of 54150 and 54167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54150 and 54167. First we will calculate the prime factors of 54150 and 54167.

Prime Factorization of 54150

Prime Factorization of 54167

Now multiplying the highest exponent prime factors to calculate the LCM of 54150 and 54167.

LCM(54150,54167) = 2¹ × 3¹ × 5² × 19² × 54167¹
LCM(54150,54167) = 2933143050