What is the Least Common Multiple of 21998 and 22015?

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 21998 and 22015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21998 and 22015, than apply into the LCM equation.

GCF(21998,22015) = 17
LCM(21998,22015) = ( 21998 × 22015) / 17
LCM(21998,22015) = 484285970 / 17
LCM(21998,22015) = 28487410

Least Common Multiple (LCM) of 21998 and 22015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21998 and 22015. First we will calculate the prime factors of 21998 and 22015.

Prime Factorization of 21998

Prime Factorization of 22015

Now multiplying the highest exponent prime factors to calculate the LCM of 21998 and 22015.

LCM(21998,22015) = 2¹ × 17¹ × 647¹ × 5¹ × 7¹ × 37¹
LCM(21998,22015) = 28487410