What is the Least Common Multiple of 56052 and 56072?

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 56052 and 56072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56052 and 56072, than apply into the LCM equation.

GCF(56052,56072) = 4
LCM(56052,56072) = ( 56052 × 56072) / 4
LCM(56052,56072) = 3142947744 / 4
LCM(56052,56072) = 785736936

Least Common Multiple (LCM) of 56052 and 56072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56052 and 56072. First we will calculate the prime factors of 56052 and 56072.

Prime Factorization of 56052

Prime Factorization of 56072

Now multiplying the highest exponent prime factors to calculate the LCM of 56052 and 56072.

LCM(56052,56072) = 2³ × 3⁴ × 173¹ × 43¹ × 163¹
LCM(56052,56072) = 785736936