What is the Least Common Multiple of 49740 and 49754?

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 49740 and 49754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49740 and 49754, than apply into the LCM equation.

GCF(49740,49754) = 2
LCM(49740,49754) = ( 49740 × 49754) / 2
LCM(49740,49754) = 2474763960 / 2
LCM(49740,49754) = 1237381980

Least Common Multiple (LCM) of 49740 and 49754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49740 and 49754. First we will calculate the prime factors of 49740 and 49754.

Prime Factorization of 49740

Prime Factorization of 49754

Now multiplying the highest exponent prime factors to calculate the LCM of 49740 and 49754.

LCM(49740,49754) = 2² × 3¹ × 5¹ × 829¹ × 24877¹
LCM(49740,49754) = 1237381980