What is the Least Common Multiple of 48174 and 48183?

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 48174 and 48183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48174 and 48183, than apply into the LCM equation.

GCF(48174,48183) = 3
LCM(48174,48183) = ( 48174 × 48183) / 3
LCM(48174,48183) = 2321167842 / 3
LCM(48174,48183) = 773722614

Least Common Multiple (LCM) of 48174 and 48183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48174 and 48183. First we will calculate the prime factors of 48174 and 48183.

Prime Factorization of 48174

Prime Factorization of 48183

Now multiplying the highest exponent prime factors to calculate the LCM of 48174 and 48183.

LCM(48174,48183) = 2¹ × 3¹ × 7¹ × 31¹ × 37¹ × 16061¹
LCM(48174,48183) = 773722614