What is the Least Common Multiple of 24115 and 24120?

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 24115 and 24120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24115 and 24120, than apply into the LCM equation.

GCF(24115,24120) = 5
LCM(24115,24120) = ( 24115 × 24120) / 5
LCM(24115,24120) = 581653800 / 5
LCM(24115,24120) = 116330760

Least Common Multiple (LCM) of 24115 and 24120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24115 and 24120. First we will calculate the prime factors of 24115 and 24120.

Prime Factorization of 24115

Prime Factorization of 24120

Now multiplying the highest exponent prime factors to calculate the LCM of 24115 and 24120.

LCM(24115,24120) = 5¹ × 7¹ × 13¹ × 53¹ × 2³ × 3² × 67¹
LCM(24115,24120) = 116330760