What is the Least Common Multiple of 71120 and 71136?

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 71120 and 71136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71120 and 71136, than apply into the LCM equation.

GCF(71120,71136) = 16
LCM(71120,71136) = ( 71120 × 71136) / 16
LCM(71120,71136) = 5059192320 / 16
LCM(71120,71136) = 316199520

Least Common Multiple (LCM) of 71120 and 71136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71120 and 71136. First we will calculate the prime factors of 71120 and 71136.

Prime Factorization of 71120

Prime Factorization of 71136

Now multiplying the highest exponent prime factors to calculate the LCM of 71120 and 71136.

LCM(71120,71136) = 2⁵ × 5¹ × 7¹ × 127¹ × 3² × 13¹ × 19¹
LCM(71120,71136) = 316199520