What is the Least Common Multiple of 49742 and 49756?

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 49742 and 49756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49742 and 49756, than apply into the LCM equation.

GCF(49742,49756) = 14
LCM(49742,49756) = ( 49742 × 49756) / 14
LCM(49742,49756) = 2474962952 / 14
LCM(49742,49756) = 176783068

Least Common Multiple (LCM) of 49742 and 49756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49742 and 49756. First we will calculate the prime factors of 49742 and 49756.

Prime Factorization of 49742

Prime Factorization of 49756

Now multiplying the highest exponent prime factors to calculate the LCM of 49742 and 49756.

LCM(49742,49756) = 2² × 7¹ × 11¹ × 17¹ × 19¹ × 1777¹
LCM(49742,49756) = 176783068