What is the Least Common Multiple of 24651 and 24660?

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 24651 and 24660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24651 and 24660, than apply into the LCM equation.

GCF(24651,24660) = 9
LCM(24651,24660) = ( 24651 × 24660) / 9
LCM(24651,24660) = 607893660 / 9
LCM(24651,24660) = 67543740

Least Common Multiple (LCM) of 24651 and 24660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24651 and 24660. First we will calculate the prime factors of 24651 and 24660.

Prime Factorization of 24651

Prime Factorization of 24660

Now multiplying the highest exponent prime factors to calculate the LCM of 24651 and 24660.

LCM(24651,24660) = 3³ × 11¹ × 83¹ × 2² × 5¹ × 137¹
LCM(24651,24660) = 67543740