What is the Least Common Multiple of 24675 and 24689?

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 24675 and 24689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24675 and 24689, than apply into the LCM equation.

GCF(24675,24689) = 7
LCM(24675,24689) = ( 24675 × 24689) / 7
LCM(24675,24689) = 609201075 / 7
LCM(24675,24689) = 87028725

Least Common Multiple (LCM) of 24675 and 24689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24675 and 24689. First we will calculate the prime factors of 24675 and 24689.

Prime Factorization of 24675

Prime Factorization of 24689

Now multiplying the highest exponent prime factors to calculate the LCM of 24675 and 24689.

LCM(24675,24689) = 3¹ × 5² × 7¹ × 47¹ × 3527¹
LCM(24675,24689) = 87028725