What is the Least Common Multiple of 66993 and 66998?

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 66993 and 66998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66993 and 66998, than apply into the LCM equation.

GCF(66993,66998) = 1
LCM(66993,66998) = ( 66993 × 66998) / 1
LCM(66993,66998) = 4488397014 / 1
LCM(66993,66998) = 4488397014

Least Common Multiple (LCM) of 66993 and 66998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66993 and 66998. First we will calculate the prime factors of 66993 and 66998.

Prime Factorization of 66993

Prime Factorization of 66998

Now multiplying the highest exponent prime factors to calculate the LCM of 66993 and 66998.

LCM(66993,66998) = 3¹ × 137¹ × 163¹ × 2¹ × 139¹ × 241¹
LCM(66993,66998) = 4488397014