What is the Least Common Multiple of 24092 and 24105?

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 24092 and 24105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24092 and 24105, than apply into the LCM equation.

GCF(24092,24105) = 1
LCM(24092,24105) = ( 24092 × 24105) / 1
LCM(24092,24105) = 580737660 / 1
LCM(24092,24105) = 580737660

Least Common Multiple (LCM) of 24092 and 24105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24092 and 24105. First we will calculate the prime factors of 24092 and 24105.

Prime Factorization of 24092

Prime Factorization of 24105

Now multiplying the highest exponent prime factors to calculate the LCM of 24092 and 24105.

LCM(24092,24105) = 2² × 19¹ × 317¹ × 3¹ × 5¹ × 1607¹
LCM(24092,24105) = 580737660