What is the Least Common Multiple of 22962 and 22976?

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 22962 and 22976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22962 and 22976, than apply into the LCM equation.

GCF(22962,22976) = 2
LCM(22962,22976) = ( 22962 × 22976) / 2
LCM(22962,22976) = 527574912 / 2
LCM(22962,22976) = 263787456

Least Common Multiple (LCM) of 22962 and 22976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22962 and 22976. First we will calculate the prime factors of 22962 and 22976.

Prime Factorization of 22962

Prime Factorization of 22976

Now multiplying the highest exponent prime factors to calculate the LCM of 22962 and 22976.

LCM(22962,22976) = 2⁶ × 3¹ × 43¹ × 89¹ × 359¹
LCM(22962,22976) = 263787456