What is the Least Common Multiple of 71076 and 71083?

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 71083 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 71083, than apply into the LCM equation.

GCF(71076,71083) = 1
LCM(71076,71083) = ( 71076 × 71083) / 1
LCM(71076,71083) = 5052295308 / 1
LCM(71076,71083) = 5052295308

Least Common Multiple (LCM) of 71076 and 71083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71076 and 71083. First we will calculate the prime factors of 71076 and 71083.

Prime Factorization of 71076

Prime Factorization of 71083

Now multiplying the highest exponent prime factors to calculate the LCM of 71076 and 71083.

LCM(71076,71083) = 2² × 3¹ × 5923¹ × 31¹ × 2293¹
LCM(71076,71083) = 5052295308