What is the Least Common Multiple of 24638 and 24653?

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 24638 and 24653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24638 and 24653, than apply into the LCM equation.

GCF(24638,24653) = 1
LCM(24638,24653) = ( 24638 × 24653) / 1
LCM(24638,24653) = 607400614 / 1
LCM(24638,24653) = 607400614

Least Common Multiple (LCM) of 24638 and 24653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24638 and 24653. First we will calculate the prime factors of 24638 and 24653.

Prime Factorization of 24638

Prime Factorization of 24653

Now multiplying the highest exponent prime factors to calculate the LCM of 24638 and 24653.

LCM(24638,24653) = 2¹ × 97¹ × 127¹ × 89¹ × 277¹
LCM(24638,24653) = 607400614