What is the Least Common Multiple of 49164 and 49168?

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 49164 and 49168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49164 and 49168, than apply into the LCM equation.

GCF(49164,49168) = 4
LCM(49164,49168) = ( 49164 × 49168) / 4
LCM(49164,49168) = 2417295552 / 4
LCM(49164,49168) = 604323888

Least Common Multiple (LCM) of 49164 and 49168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49164 and 49168. First we will calculate the prime factors of 49164 and 49168.

Prime Factorization of 49164

Prime Factorization of 49168

Now multiplying the highest exponent prime factors to calculate the LCM of 49164 and 49168.

LCM(49164,49168) = 2⁴ × 3¹ × 17¹ × 241¹ × 7¹ × 439¹
LCM(49164,49168) = 604323888