What is the Least Common Multiple of 48162 and 48174?

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 48162 and 48174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48162 and 48174, than apply into the LCM equation.

GCF(48162,48174) = 6
LCM(48162,48174) = ( 48162 × 48174) / 6
LCM(48162,48174) = 2320156188 / 6
LCM(48162,48174) = 386692698

Least Common Multiple (LCM) of 48162 and 48174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48162 and 48174. First we will calculate the prime factors of 48162 and 48174.

Prime Factorization of 48162

Prime Factorization of 48174

Now multiplying the highest exponent prime factors to calculate the LCM of 48162 and 48174.

LCM(48162,48174) = 2¹ × 3¹ × 23¹ × 349¹ × 7¹ × 31¹ × 37¹
LCM(48162,48174) = 386692698