What is the Least Common Multiple of 71108 and 71120?

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 71108 and 71120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71108 and 71120, than apply into the LCM equation.

GCF(71108,71120) = 4
LCM(71108,71120) = ( 71108 × 71120) / 4
LCM(71108,71120) = 5057200960 / 4
LCM(71108,71120) = 1264300240

Least Common Multiple (LCM) of 71108 and 71120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71108 and 71120. First we will calculate the prime factors of 71108 and 71120.

Prime Factorization of 71108

Prime Factorization of 71120

Now multiplying the highest exponent prime factors to calculate the LCM of 71108 and 71120.

LCM(71108,71120) = 2⁴ × 29¹ × 613¹ × 5¹ × 7¹ × 127¹
LCM(71108,71120) = 1264300240