What is the Least Common Multiple of 21998 and 22002?

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 22002 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 22002, than apply into the LCM equation.

GCF(21998,22002) = 2
LCM(21998,22002) = ( 21998 × 22002) / 2
LCM(21998,22002) = 483999996 / 2
LCM(21998,22002) = 241999998

Least Common Multiple (LCM) of 21998 and 22002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21998 and 22002. First we will calculate the prime factors of 21998 and 22002.

Prime Factorization of 21998

Prime Factorization of 22002

Now multiplying the highest exponent prime factors to calculate the LCM of 21998 and 22002.

LCM(21998,22002) = 2¹ × 17¹ × 647¹ × 3¹ × 19¹ × 193¹
LCM(21998,22002) = 241999998