What is the Least Common Multiple of 24643 and 24651?

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 24643 and 24651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24643 and 24651, than apply into the LCM equation.

GCF(24643,24651) = 1
LCM(24643,24651) = ( 24643 × 24651) / 1
LCM(24643,24651) = 607474593 / 1
LCM(24643,24651) = 607474593

Least Common Multiple (LCM) of 24643 and 24651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24643 and 24651. First we will calculate the prime factors of 24643 and 24651.

Prime Factorization of 24643

Prime Factorization of 24651

Now multiplying the highest exponent prime factors to calculate the LCM of 24643 and 24651.

LCM(24643,24651) = 19¹ × 1297¹ × 3³ × 11¹ × 83¹
LCM(24643,24651) = 607474593