What is the Least Common Multiple of 47993 and 47998?

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 47993 and 47998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47993 and 47998, than apply into the LCM equation.

GCF(47993,47998) = 1
LCM(47993,47998) = ( 47993 × 47998) / 1
LCM(47993,47998) = 2303568014 / 1
LCM(47993,47998) = 2303568014

Least Common Multiple (LCM) of 47993 and 47998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47993 and 47998. First we will calculate the prime factors of 47993 and 47998.

Prime Factorization of 47993

Prime Factorization of 47998

Now multiplying the highest exponent prime factors to calculate the LCM of 47993 and 47998.

LCM(47993,47998) = 11¹ × 4363¹ × 2¹ × 103¹ × 233¹
LCM(47993,47998) = 2303568014