What is the Least Common Multiple of 49912 and 49927?

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 49912 and 49927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49912 and 49927, than apply into the LCM equation.

GCF(49912,49927) = 1
LCM(49912,49927) = ( 49912 × 49927) / 1
LCM(49912,49927) = 2491956424 / 1
LCM(49912,49927) = 2491956424

Least Common Multiple (LCM) of 49912 and 49927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49912 and 49927. First we will calculate the prime factors of 49912 and 49927.

Prime Factorization of 49912

Prime Factorization of 49927

Now multiplying the highest exponent prime factors to calculate the LCM of 49912 and 49927.

LCM(49912,49927) = 2³ × 17¹ × 367¹ × 49927¹
LCM(49912,49927) = 2491956424