What is the Least Common Multiple of 56080 and 56096?

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 56080 and 56096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56080 and 56096, than apply into the LCM equation.

GCF(56080,56096) = 16
LCM(56080,56096) = ( 56080 × 56096) / 16
LCM(56080,56096) = 3145863680 / 16
LCM(56080,56096) = 196616480

Least Common Multiple (LCM) of 56080 and 56096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56080 and 56096. First we will calculate the prime factors of 56080 and 56096.

Prime Factorization of 56080

Prime Factorization of 56096

Now multiplying the highest exponent prime factors to calculate the LCM of 56080 and 56096.

LCM(56080,56096) = 2⁵ × 5¹ × 701¹ × 1753¹
LCM(56080,56096) = 196616480