What is the Least Common Multiple of 21990 and 21995?

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 21990 and 21995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21990 and 21995, than apply into the LCM equation.

GCF(21990,21995) = 5
LCM(21990,21995) = ( 21990 × 21995) / 5
LCM(21990,21995) = 483670050 / 5
LCM(21990,21995) = 96734010

Least Common Multiple (LCM) of 21990 and 21995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21990 and 21995. First we will calculate the prime factors of 21990 and 21995.

Prime Factorization of 21990

Prime Factorization of 21995

Now multiplying the highest exponent prime factors to calculate the LCM of 21990 and 21995.

LCM(21990,21995) = 2¹ × 3¹ × 5¹ × 733¹ × 53¹ × 83¹
LCM(21990,21995) = 96734010