What is the Least Common Multiple of 22960 and 22971?

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 22960 and 22971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22960 and 22971, than apply into the LCM equation.

GCF(22960,22971) = 1
LCM(22960,22971) = ( 22960 × 22971) / 1
LCM(22960,22971) = 527414160 / 1
LCM(22960,22971) = 527414160

Least Common Multiple (LCM) of 22960 and 22971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22960 and 22971. First we will calculate the prime factors of 22960 and 22971.

Prime Factorization of 22960

Prime Factorization of 22971

Now multiplying the highest exponent prime factors to calculate the LCM of 22960 and 22971.

LCM(22960,22971) = 2⁴ × 5¹ × 7¹ × 41¹ × 3¹ × 13¹ × 19¹ × 31¹
LCM(22960,22971) = 527414160