What is the Least Common Multiple of 48179 and 48185?

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 48179 and 48185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48179 and 48185, than apply into the LCM equation.

GCF(48179,48185) = 1
LCM(48179,48185) = ( 48179 × 48185) / 1
LCM(48179,48185) = 2321505115 / 1
LCM(48179,48185) = 2321505115

Least Common Multiple (LCM) of 48179 and 48185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48179 and 48185. First we will calculate the prime factors of 48179 and 48185.

Prime Factorization of 48179

Prime Factorization of 48185

Now multiplying the highest exponent prime factors to calculate the LCM of 48179 and 48185.

LCM(48179,48185) = 48179¹ × 5¹ × 23¹ × 419¹
LCM(48179,48185) = 2321505115