What is the Least Common Multiple of 21996 and 22007?

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 21996 and 22007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21996 and 22007, than apply into the LCM equation.

GCF(21996,22007) = 1
LCM(21996,22007) = ( 21996 × 22007) / 1
LCM(21996,22007) = 484065972 / 1
LCM(21996,22007) = 484065972

Least Common Multiple (LCM) of 21996 and 22007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21996 and 22007. First we will calculate the prime factors of 21996 and 22007.

Prime Factorization of 21996

Prime Factorization of 22007

Now multiplying the highest exponent prime factors to calculate the LCM of 21996 and 22007.

LCM(21996,22007) = 2² × 3² × 13¹ × 47¹ × 59¹ × 373¹
LCM(21996,22007) = 484065972