What is the Least Common Multiple of 21993 and 21998?

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 21993 and 21998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21993 and 21998, than apply into the LCM equation.

GCF(21993,21998) = 1
LCM(21993,21998) = ( 21993 × 21998) / 1
LCM(21993,21998) = 483802014 / 1
LCM(21993,21998) = 483802014

Least Common Multiple (LCM) of 21993 and 21998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21993 and 21998. First we will calculate the prime factors of 21993 and 21998.

Prime Factorization of 21993

Prime Factorization of 21998

Now multiplying the highest exponent prime factors to calculate the LCM of 21993 and 21998.

LCM(21993,21998) = 3¹ × 7331¹ × 2¹ × 17¹ × 647¹
LCM(21993,21998) = 483802014