What is the Least Common Multiple of 24654 and 24673?

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 24654 and 24673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24654 and 24673, than apply into the LCM equation.

GCF(24654,24673) = 1
LCM(24654,24673) = ( 24654 × 24673) / 1
LCM(24654,24673) = 608288142 / 1
LCM(24654,24673) = 608288142

Least Common Multiple (LCM) of 24654 and 24673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24654 and 24673. First we will calculate the prime factors of 24654 and 24673.

Prime Factorization of 24654

Prime Factorization of 24673

Now multiplying the highest exponent prime factors to calculate the LCM of 24654 and 24673.

LCM(24654,24673) = 2¹ × 3¹ × 7¹ × 587¹ × 11¹ × 2243¹
LCM(24654,24673) = 608288142