What is the Least Common Multiple of 24955 and 24962?

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 24955 and 24962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24955 and 24962, than apply into the LCM equation.

GCF(24955,24962) = 7
LCM(24955,24962) = ( 24955 × 24962) / 7
LCM(24955,24962) = 622926710 / 7
LCM(24955,24962) = 88989530

Least Common Multiple (LCM) of 24955 and 24962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24955 and 24962. First we will calculate the prime factors of 24955 and 24962.

Prime Factorization of 24955

Prime Factorization of 24962

Now multiplying the highest exponent prime factors to calculate the LCM of 24955 and 24962.

LCM(24955,24962) = 5¹ × 7¹ × 23¹ × 31¹ × 2¹ × 1783¹
LCM(24955,24962) = 88989530