What is the Least Common Multiple of 29076 and 29082?

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 29076 and 29082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29076 and 29082, than apply into the LCM equation.

GCF(29076,29082) = 6
LCM(29076,29082) = ( 29076 × 29082) / 6
LCM(29076,29082) = 845588232 / 6
LCM(29076,29082) = 140931372

Least Common Multiple (LCM) of 29076 and 29082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29076 and 29082. First we will calculate the prime factors of 29076 and 29082.

Prime Factorization of 29076

Prime Factorization of 29082

Now multiplying the highest exponent prime factors to calculate the LCM of 29076 and 29082.

LCM(29076,29082) = 2² × 3¹ × 2423¹ × 37¹ × 131¹
LCM(29076,29082) = 140931372