What is the Least Common Multiple of 49176 and 49185?

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 49176 and 49185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49176 and 49185, than apply into the LCM equation.

GCF(49176,49185) = 9
LCM(49176,49185) = ( 49176 × 49185) / 9
LCM(49176,49185) = 2418721560 / 9
LCM(49176,49185) = 268746840

Least Common Multiple (LCM) of 49176 and 49185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49176 and 49185. First we will calculate the prime factors of 49176 and 49185.

Prime Factorization of 49176

Prime Factorization of 49185

Now multiplying the highest exponent prime factors to calculate the LCM of 49176 and 49185.

LCM(49176,49185) = 2³ × 3² × 683¹ × 5¹ × 1093¹
LCM(49176,49185) = 268746840