What is the Least Common Multiple of 49935 and 49953?

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 49935 and 49953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49935 and 49953, than apply into the LCM equation.

GCF(49935,49953) = 3
LCM(49935,49953) = ( 49935 × 49953) / 3
LCM(49935,49953) = 2494403055 / 3
LCM(49935,49953) = 831467685

Least Common Multiple (LCM) of 49935 and 49953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49935 and 49953. First we will calculate the prime factors of 49935 and 49953.

Prime Factorization of 49935

Prime Factorization of 49953

Now multiplying the highest exponent prime factors to calculate the LCM of 49935 and 49953.

LCM(49935,49953) = 3¹ × 5¹ × 3329¹ × 16651¹
LCM(49935,49953) = 831467685