What is the Least Common Multiple of 42036 and 42052?

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 42036 and 42052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42036 and 42052, than apply into the LCM equation.

GCF(42036,42052) = 4
LCM(42036,42052) = ( 42036 × 42052) / 4
LCM(42036,42052) = 1767697872 / 4
LCM(42036,42052) = 441924468

Least Common Multiple (LCM) of 42036 and 42052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42036 and 42052. First we will calculate the prime factors of 42036 and 42052.

Prime Factorization of 42036

Prime Factorization of 42052

Now multiplying the highest exponent prime factors to calculate the LCM of 42036 and 42052.

LCM(42036,42052) = 2² × 3¹ × 31¹ × 113¹ × 10513¹
LCM(42036,42052) = 441924468