What is the Least Common Multiple of 24976 and 24983?

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 24976 and 24983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24976 and 24983, than apply into the LCM equation.

GCF(24976,24983) = 7
LCM(24976,24983) = ( 24976 × 24983) / 7
LCM(24976,24983) = 623975408 / 7
LCM(24976,24983) = 89139344

Least Common Multiple (LCM) of 24976 and 24983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24976 and 24983. First we will calculate the prime factors of 24976 and 24983.

Prime Factorization of 24976

Prime Factorization of 24983

Now multiplying the highest exponent prime factors to calculate the LCM of 24976 and 24983.

LCM(24976,24983) = 2⁴ × 7¹ × 223¹ × 43¹ × 83¹
LCM(24976,24983) = 89139344