What is the Least Common Multiple of 4036 and 4042?

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 4036 and 4042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4036 and 4042, than apply into the LCM equation.

GCF(4036,4042) = 2
LCM(4036,4042) = ( 4036 × 4042) / 2
LCM(4036,4042) = 16313512 / 2
LCM(4036,4042) = 8156756

Least Common Multiple (LCM) of 4036 and 4042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4036 and 4042. First we will calculate the prime factors of 4036 and 4042.

Prime Factorization of 4036

Prime Factorization of 4042

Now multiplying the highest exponent prime factors to calculate the LCM of 4036 and 4042.

LCM(4036,4042) = 2² × 1009¹ × 43¹ × 47¹
LCM(4036,4042) = 8156756