What is the Least Common Multiple of 21972 and 21986?

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 21972 and 21986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21972 and 21986, than apply into the LCM equation.

GCF(21972,21986) = 2
LCM(21972,21986) = ( 21972 × 21986) / 2
LCM(21972,21986) = 483076392 / 2
LCM(21972,21986) = 241538196

Least Common Multiple (LCM) of 21972 and 21986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21972 and 21986. First we will calculate the prime factors of 21972 and 21986.

Prime Factorization of 21972

Prime Factorization of 21986

Now multiplying the highest exponent prime factors to calculate the LCM of 21972 and 21986.

LCM(21972,21986) = 2² × 3¹ × 1831¹ × 10993¹
LCM(21972,21986) = 241538196