What is the Least Common Multiple of 56072 and 56076?

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 56072 and 56076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56072 and 56076, than apply into the LCM equation.

GCF(56072,56076) = 4
LCM(56072,56076) = ( 56072 × 56076) / 4
LCM(56072,56076) = 3144293472 / 4
LCM(56072,56076) = 786073368

Least Common Multiple (LCM) of 56072 and 56076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56072 and 56076. First we will calculate the prime factors of 56072 and 56076.

Prime Factorization of 56072

Prime Factorization of 56076

Now multiplying the highest exponent prime factors to calculate the LCM of 56072 and 56076.

LCM(56072,56076) = 2³ × 43¹ × 163¹ × 3¹ × 4673¹
LCM(56072,56076) = 786073368