What is the Least Common Multiple of 5032 and 5042?

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 5032 and 5042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5032 and 5042, than apply into the LCM equation.

GCF(5032,5042) = 2
LCM(5032,5042) = ( 5032 × 5042) / 2
LCM(5032,5042) = 25371344 / 2
LCM(5032,5042) = 12685672

Least Common Multiple (LCM) of 5032 and 5042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5032 and 5042. First we will calculate the prime factors of 5032 and 5042.

Prime Factorization of 5032

Prime Factorization of 5042

Now multiplying the highest exponent prime factors to calculate the LCM of 5032 and 5042.

LCM(5032,5042) = 2³ × 17¹ × 37¹ × 2521¹
LCM(5032,5042) = 12685672