What is the Least Common Multiple of 71076 and 71093?

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 71076 and 71093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71076 and 71093, than apply into the LCM equation.

GCF(71076,71093) = 1
LCM(71076,71093) = ( 71076 × 71093) / 1
LCM(71076,71093) = 5053006068 / 1
LCM(71076,71093) = 5053006068

Least Common Multiple (LCM) of 71076 and 71093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71076 and 71093. First we will calculate the prime factors of 71076 and 71093.

Prime Factorization of 71076

Prime Factorization of 71093

Now multiplying the highest exponent prime factors to calculate the LCM of 71076 and 71093.

LCM(71076,71093) = 2² × 3¹ × 5923¹ × 11¹ × 23¹ × 281¹
LCM(71076,71093) = 5053006068