What is the Least Common Multiple of 22374 and 22384?

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 22374 and 22384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22374 and 22384, than apply into the LCM equation.

GCF(22374,22384) = 2
LCM(22374,22384) = ( 22374 × 22384) / 2
LCM(22374,22384) = 500819616 / 2
LCM(22374,22384) = 250409808

Least Common Multiple (LCM) of 22374 and 22384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22374 and 22384. First we will calculate the prime factors of 22374 and 22384.

Prime Factorization of 22374

Prime Factorization of 22384

Now multiplying the highest exponent prime factors to calculate the LCM of 22374 and 22384.

LCM(22374,22384) = 2⁴ × 3² × 11¹ × 113¹ × 1399¹
LCM(22374,22384) = 250409808