What is the Least Common Multiple of 49096 and 49104?

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 49096 and 49104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49096 and 49104, than apply into the LCM equation.

GCF(49096,49104) = 8
LCM(49096,49104) = ( 49096 × 49104) / 8
LCM(49096,49104) = 2410809984 / 8
LCM(49096,49104) = 301351248

Least Common Multiple (LCM) of 49096 and 49104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49096 and 49104. First we will calculate the prime factors of 49096 and 49104.

Prime Factorization of 49096

Prime Factorization of 49104

Now multiplying the highest exponent prime factors to calculate the LCM of 49096 and 49104.

LCM(49096,49104) = 2⁴ × 17¹ × 19² × 3² × 11¹ × 31¹
LCM(49096,49104) = 301351248