What is the Least Common Multiple of 71045 and 71056?

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 71045 and 71056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71045 and 71056, than apply into the LCM equation.

GCF(71045,71056) = 1
LCM(71045,71056) = ( 71045 × 71056) / 1
LCM(71045,71056) = 5048173520 / 1
LCM(71045,71056) = 5048173520

Least Common Multiple (LCM) of 71045 and 71056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71045 and 71056. First we will calculate the prime factors of 71045 and 71056.

Prime Factorization of 71045

Prime Factorization of 71056

Now multiplying the highest exponent prime factors to calculate the LCM of 71045 and 71056.

LCM(71045,71056) = 5¹ × 13¹ × 1093¹ × 2⁴ × 4441¹
LCM(71045,71056) = 5048173520