What is the Least Common Multiple of 49168 and 49176?

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 49168 and 49176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49168 and 49176, than apply into the LCM equation.

GCF(49168,49176) = 8
LCM(49168,49176) = ( 49168 × 49176) / 8
LCM(49168,49176) = 2417885568 / 8
LCM(49168,49176) = 302235696

Least Common Multiple (LCM) of 49168 and 49176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49168 and 49176. First we will calculate the prime factors of 49168 and 49176.

Prime Factorization of 49168

Prime Factorization of 49176

Now multiplying the highest exponent prime factors to calculate the LCM of 49168 and 49176.

LCM(49168,49176) = 2⁴ × 7¹ × 439¹ × 3² × 683¹
LCM(49168,49176) = 302235696