What is the Least Common Multiple of 49989 and 49993?

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 49989 and 49993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49989 and 49993, than apply into the LCM equation.

GCF(49989,49993) = 1
LCM(49989,49993) = ( 49989 × 49993) / 1
LCM(49989,49993) = 2499100077 / 1
LCM(49989,49993) = 2499100077

Least Common Multiple (LCM) of 49989 and 49993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49989 and 49993. First we will calculate the prime factors of 49989 and 49993.

Prime Factorization of 49989

Prime Factorization of 49993

Now multiplying the highest exponent prime factors to calculate the LCM of 49989 and 49993.

LCM(49989,49993) = 3¹ × 19¹ × 877¹ × 49993¹
LCM(49989,49993) = 2499100077