What is the Least Common Multiple of 49101 and 49116?

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 49101 and 49116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49101 and 49116, than apply into the LCM equation.

GCF(49101,49116) = 3
LCM(49101,49116) = ( 49101 × 49116) / 3
LCM(49101,49116) = 2411644716 / 3
LCM(49101,49116) = 803881572

Least Common Multiple (LCM) of 49101 and 49116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49101 and 49116. First we will calculate the prime factors of 49101 and 49116.

Prime Factorization of 49101

Prime Factorization of 49116

Now multiplying the highest exponent prime factors to calculate the LCM of 49101 and 49116.

LCM(49101,49116) = 3¹ × 13¹ × 1259¹ × 2² × 4093¹
LCM(49101,49116) = 803881572