What is the Least Common Multiple of 71116 and 71128?

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 71116 and 71128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71116 and 71128, than apply into the LCM equation.

GCF(71116,71128) = 4
LCM(71116,71128) = ( 71116 × 71128) / 4
LCM(71116,71128) = 5058338848 / 4
LCM(71116,71128) = 1264584712

Least Common Multiple (LCM) of 71116 and 71128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71116 and 71128. First we will calculate the prime factors of 71116 and 71128.

Prime Factorization of 71116

Prime Factorization of 71128

Now multiplying the highest exponent prime factors to calculate the LCM of 71116 and 71128.

LCM(71116,71128) = 2³ × 23¹ × 773¹ × 17¹ × 523¹
LCM(71116,71128) = 1264584712