What is the Least Common Multiple of 24172 and 24182?

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 24172 and 24182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24172 and 24182, than apply into the LCM equation.

GCF(24172,24182) = 2
LCM(24172,24182) = ( 24172 × 24182) / 2
LCM(24172,24182) = 584527304 / 2
LCM(24172,24182) = 292263652

Least Common Multiple (LCM) of 24172 and 24182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24172 and 24182. First we will calculate the prime factors of 24172 and 24182.

Prime Factorization of 24172

Prime Factorization of 24182

Now multiplying the highest exponent prime factors to calculate the LCM of 24172 and 24182.

LCM(24172,24182) = 2² × 6043¹ × 107¹ × 113¹
LCM(24172,24182) = 292263652