What is the Least Common Multiple of 71056 and 71060?

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 71056 and 71060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71056 and 71060, than apply into the LCM equation.

GCF(71056,71060) = 4
LCM(71056,71060) = ( 71056 × 71060) / 4
LCM(71056,71060) = 5049239360 / 4
LCM(71056,71060) = 1262309840

Least Common Multiple (LCM) of 71056 and 71060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71056 and 71060. First we will calculate the prime factors of 71056 and 71060.

Prime Factorization of 71056

Prime Factorization of 71060

Now multiplying the highest exponent prime factors to calculate the LCM of 71056 and 71060.

LCM(71056,71060) = 2⁴ × 4441¹ × 5¹ × 11¹ × 17¹ × 19¹
LCM(71056,71060) = 1262309840