What is the Least Common Multiple of 71114 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 71114 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 71114 and 71120, than apply into the LCM equation.

GCF(71114,71120) = 2
LCM(71114,71120) = ( 71114 × 71120) / 2
LCM(71114,71120) = 5057627680 / 2
LCM(71114,71120) = 2528813840

Least Common Multiple (LCM) of 71114 and 71120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71114 and 71120. First we will calculate the prime factors of 71114 and 71120.

Prime Factorization of 71114

Prime Factorization of 71120

Now multiplying the highest exponent prime factors to calculate the LCM of 71114 and 71120.

LCM(71114,71120) = 2⁴ × 31² × 37¹ × 5¹ × 7¹ × 127¹
LCM(71114,71120) = 2528813840