What is the Least Common Multiple of 24365 and 24370?

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 24365 and 24370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24365 and 24370, than apply into the LCM equation.

GCF(24365,24370) = 5
LCM(24365,24370) = ( 24365 × 24370) / 5
LCM(24365,24370) = 593775050 / 5
LCM(24365,24370) = 118755010

Least Common Multiple (LCM) of 24365 and 24370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24365 and 24370. First we will calculate the prime factors of 24365 and 24370.

Prime Factorization of 24365

Prime Factorization of 24370

Now multiplying the highest exponent prime factors to calculate the LCM of 24365 and 24370.

LCM(24365,24370) = 5¹ × 11¹ × 443¹ × 2¹ × 2437¹
LCM(24365,24370) = 118755010