What is the Least Common Multiple of 21912 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 21912 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 21912 and 21930, than apply into the LCM equation.

GCF(21912,21930) = 6
LCM(21912,21930) = ( 21912 × 21930) / 6
LCM(21912,21930) = 480530160 / 6
LCM(21912,21930) = 80088360

Least Common Multiple (LCM) of 21912 and 21930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21912 and 21930. First we will calculate the prime factors of 21912 and 21930.

Prime Factorization of 21912

Prime Factorization of 21930

Now multiplying the highest exponent prime factors to calculate the LCM of 21912 and 21930.

LCM(21912,21930) = 2³ × 3¹ × 11¹ × 83¹ × 5¹ × 17¹ × 43¹
LCM(21912,21930) = 80088360