What is the Least Common Multiple of 21942 and 21959?

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 21942 and 21959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21942 and 21959, than apply into the LCM equation.

GCF(21942,21959) = 1
LCM(21942,21959) = ( 21942 × 21959) / 1
LCM(21942,21959) = 481824378 / 1
LCM(21942,21959) = 481824378

Least Common Multiple (LCM) of 21942 and 21959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21942 and 21959. First we will calculate the prime factors of 21942 and 21959.

Prime Factorization of 21942

Prime Factorization of 21959

Now multiplying the highest exponent prime factors to calculate the LCM of 21942 and 21959.

LCM(21942,21959) = 2¹ × 3² × 23¹ × 53¹ × 7¹ × 3137¹
LCM(21942,21959) = 481824378