What is the Least Common Multiple of 22914 and 22920?

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 22914 and 22920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22914 and 22920, than apply into the LCM equation.

GCF(22914,22920) = 6
LCM(22914,22920) = ( 22914 × 22920) / 6
LCM(22914,22920) = 525188880 / 6
LCM(22914,22920) = 87531480

Least Common Multiple (LCM) of 22914 and 22920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22914 and 22920. First we will calculate the prime factors of 22914 and 22920.

Prime Factorization of 22914

Prime Factorization of 22920

Now multiplying the highest exponent prime factors to calculate the LCM of 22914 and 22920.

LCM(22914,22920) = 2³ × 3² × 19¹ × 67¹ × 5¹ × 191¹
LCM(22914,22920) = 87531480