What is the Least Common Multiple of 21939 and 21951?

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 21939 and 21951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21939 and 21951, than apply into the LCM equation.

GCF(21939,21951) = 3
LCM(21939,21951) = ( 21939 × 21951) / 3
LCM(21939,21951) = 481582989 / 3
LCM(21939,21951) = 160527663

Least Common Multiple (LCM) of 21939 and 21951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21939 and 21951. First we will calculate the prime factors of 21939 and 21951.

Prime Factorization of 21939

Prime Factorization of 21951

Now multiplying the highest exponent prime factors to calculate the LCM of 21939 and 21951.

LCM(21939,21951) = 3⁴ × 71¹ × 103¹ × 271¹
LCM(21939,21951) = 160527663