What is the Least Common Multiple of 21960 and 21966?

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 21960 and 21966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21960 and 21966, than apply into the LCM equation.

GCF(21960,21966) = 6
LCM(21960,21966) = ( 21960 × 21966) / 6
LCM(21960,21966) = 482373360 / 6
LCM(21960,21966) = 80395560

Least Common Multiple (LCM) of 21960 and 21966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21960 and 21966. First we will calculate the prime factors of 21960 and 21966.

Prime Factorization of 21960

Prime Factorization of 21966

Now multiplying the highest exponent prime factors to calculate the LCM of 21960 and 21966.

LCM(21960,21966) = 2³ × 3² × 5¹ × 61¹ × 7¹ × 523¹
LCM(21960,21966) = 80395560