What is the Least Common Multiple of 24465 and 24481?

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 24465 and 24481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24465 and 24481, than apply into the LCM equation.

GCF(24465,24481) = 1
LCM(24465,24481) = ( 24465 × 24481) / 1
LCM(24465,24481) = 598927665 / 1
LCM(24465,24481) = 598927665

Least Common Multiple (LCM) of 24465 and 24481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24465 and 24481. First we will calculate the prime factors of 24465 and 24481.

Prime Factorization of 24465

Prime Factorization of 24481

Now multiplying the highest exponent prime factors to calculate the LCM of 24465 and 24481.

LCM(24465,24481) = 3¹ × 5¹ × 7¹ × 233¹ × 24481¹
LCM(24465,24481) = 598927665