What is the Least Common Multiple of 71102 and 71116?

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 71102 and 71116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71102 and 71116, than apply into the LCM equation.

GCF(71102,71116) = 2
LCM(71102,71116) = ( 71102 × 71116) / 2
LCM(71102,71116) = 5056489832 / 2
LCM(71102,71116) = 2528244916

Least Common Multiple (LCM) of 71102 and 71116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71102 and 71116. First we will calculate the prime factors of 71102 and 71116.

Prime Factorization of 71102

Prime Factorization of 71116

Now multiplying the highest exponent prime factors to calculate the LCM of 71102 and 71116.

LCM(71102,71116) = 2² × 73¹ × 487¹ × 23¹ × 773¹
LCM(71102,71116) = 2528244916