What is the Least Common Multiple of 24560 and 24568?

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 24560 and 24568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24560 and 24568, than apply into the LCM equation.

GCF(24560,24568) = 8
LCM(24560,24568) = ( 24560 × 24568) / 8
LCM(24560,24568) = 603390080 / 8
LCM(24560,24568) = 75423760

Least Common Multiple (LCM) of 24560 and 24568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24560 and 24568. First we will calculate the prime factors of 24560 and 24568.

Prime Factorization of 24560

Prime Factorization of 24568

Now multiplying the highest exponent prime factors to calculate the LCM of 24560 and 24568.

LCM(24560,24568) = 2⁴ × 5¹ × 307¹ × 37¹ × 83¹
LCM(24560,24568) = 75423760