What is the Least Common Multiple of 21974 and 21982?

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 21974 and 21982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21974 and 21982, than apply into the LCM equation.

GCF(21974,21982) = 2
LCM(21974,21982) = ( 21974 × 21982) / 2
LCM(21974,21982) = 483032468 / 2
LCM(21974,21982) = 241516234

Least Common Multiple (LCM) of 21974 and 21982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21974 and 21982. First we will calculate the prime factors of 21974 and 21982.

Prime Factorization of 21974

Prime Factorization of 21982

Now multiplying the highest exponent prime factors to calculate the LCM of 21974 and 21982.

LCM(21974,21982) = 2¹ × 10987¹ × 29¹ × 379¹
LCM(21974,21982) = 241516234