What is the Least Common Multiple of 24873 and 24892?

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 24873 and 24892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24873 and 24892, than apply into the LCM equation.

GCF(24873,24892) = 1
LCM(24873,24892) = ( 24873 × 24892) / 1
LCM(24873,24892) = 619138716 / 1
LCM(24873,24892) = 619138716

Least Common Multiple (LCM) of 24873 and 24892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24873 and 24892. First we will calculate the prime factors of 24873 and 24892.

Prime Factorization of 24873

Prime Factorization of 24892

Now multiplying the highest exponent prime factors to calculate the LCM of 24873 and 24892.

LCM(24873,24892) = 3¹ × 8291¹ × 2² × 7² × 127¹
LCM(24873,24892) = 619138716