What is the Least Common Multiple of 21914 and 21930?

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 21914 and 21930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21914 and 21930, than apply into the LCM equation.

GCF(21914,21930) = 2
LCM(21914,21930) = ( 21914 × 21930) / 2
LCM(21914,21930) = 480574020 / 2
LCM(21914,21930) = 240287010

Least Common Multiple (LCM) of 21914 and 21930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21914 and 21930. First we will calculate the prime factors of 21914 and 21930.

Prime Factorization of 21914

Prime Factorization of 21930

Now multiplying the highest exponent prime factors to calculate the LCM of 21914 and 21930.

LCM(21914,21930) = 2¹ × 10957¹ × 3¹ × 5¹ × 17¹ × 43¹
LCM(21914,21930) = 240287010