What is the Least Common Multiple of 56032 and 56052?

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 56032 and 56052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56032 and 56052, than apply into the LCM equation.

GCF(56032,56052) = 4
LCM(56032,56052) = ( 56032 × 56052) / 4
LCM(56032,56052) = 3140705664 / 4
LCM(56032,56052) = 785176416

Least Common Multiple (LCM) of 56032 and 56052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56032 and 56052. First we will calculate the prime factors of 56032 and 56052.

Prime Factorization of 56032

Prime Factorization of 56052

Now multiplying the highest exponent prime factors to calculate the LCM of 56032 and 56052.

LCM(56032,56052) = 2⁵ × 17¹ × 103¹ × 3⁴ × 173¹
LCM(56032,56052) = 785176416