What is the Least Common Multiple of 29076 and 29091?

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 29091 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 29091, than apply into the LCM equation.

GCF(29076,29091) = 3
LCM(29076,29091) = ( 29076 × 29091) / 3
LCM(29076,29091) = 845849916 / 3
LCM(29076,29091) = 281949972

Least Common Multiple (LCM) of 29076 and 29091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29076 and 29091. First we will calculate the prime factors of 29076 and 29091.

Prime Factorization of 29076

Prime Factorization of 29091

Now multiplying the highest exponent prime factors to calculate the LCM of 29076 and 29091.

LCM(29076,29091) = 2² × 3¹ × 2423¹ × 9697¹
LCM(29076,29091) = 281949972