What is the Least Common Multiple of 21930 and 21942?

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 21930 and 21942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21930 and 21942, than apply into the LCM equation.

GCF(21930,21942) = 6
LCM(21930,21942) = ( 21930 × 21942) / 6
LCM(21930,21942) = 481188060 / 6
LCM(21930,21942) = 80198010

Least Common Multiple (LCM) of 21930 and 21942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21930 and 21942. First we will calculate the prime factors of 21930 and 21942.

Prime Factorization of 21930

Prime Factorization of 21942

Now multiplying the highest exponent prime factors to calculate the LCM of 21930 and 21942.

LCM(21930,21942) = 2¹ × 3² × 5¹ × 17¹ × 43¹ × 23¹ × 53¹
LCM(21930,21942) = 80198010