What is the Least Common Multiple of 22965 and 22984?

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 22965 and 22984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22965 and 22984, than apply into the LCM equation.

GCF(22965,22984) = 1
LCM(22965,22984) = ( 22965 × 22984) / 1
LCM(22965,22984) = 527827560 / 1
LCM(22965,22984) = 527827560

Least Common Multiple (LCM) of 22965 and 22984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22965 and 22984. First we will calculate the prime factors of 22965 and 22984.

Prime Factorization of 22965

Prime Factorization of 22984

Now multiplying the highest exponent prime factors to calculate the LCM of 22965 and 22984.

LCM(22965,22984) = 3¹ × 5¹ × 1531¹ × 2³ × 13² × 17¹
LCM(22965,22984) = 527827560