What is the Least Common Multiple of 22984 and 23002?

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 22984 and 23002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22984 and 23002, than apply into the LCM equation.

GCF(22984,23002) = 2
LCM(22984,23002) = ( 22984 × 23002) / 2
LCM(22984,23002) = 528677968 / 2
LCM(22984,23002) = 264338984

Least Common Multiple (LCM) of 22984 and 23002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22984 and 23002. First we will calculate the prime factors of 22984 and 23002.

Prime Factorization of 22984

Prime Factorization of 23002

Now multiplying the highest exponent prime factors to calculate the LCM of 22984 and 23002.

LCM(22984,23002) = 2³ × 13² × 17¹ × 7¹ × 31¹ × 53¹
LCM(22984,23002) = 264338984