What is the Least Common Multiple of 24892 and 24910?

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 24892 and 24910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24892 and 24910, than apply into the LCM equation.

GCF(24892,24910) = 2
LCM(24892,24910) = ( 24892 × 24910) / 2
LCM(24892,24910) = 620059720 / 2
LCM(24892,24910) = 310029860

Least Common Multiple (LCM) of 24892 and 24910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24892 and 24910. First we will calculate the prime factors of 24892 and 24910.

Prime Factorization of 24892

Prime Factorization of 24910

Now multiplying the highest exponent prime factors to calculate the LCM of 24892 and 24910.

LCM(24892,24910) = 2² × 7² × 127¹ × 5¹ × 47¹ × 53¹
LCM(24892,24910) = 310029860