What is the Least Common Multiple of 29320 and 29337?

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 29320 and 29337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29320 and 29337, than apply into the LCM equation.

GCF(29320,29337) = 1
LCM(29320,29337) = ( 29320 × 29337) / 1
LCM(29320,29337) = 860160840 / 1
LCM(29320,29337) = 860160840

Least Common Multiple (LCM) of 29320 and 29337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29320 and 29337. First we will calculate the prime factors of 29320 and 29337.

Prime Factorization of 29320

Prime Factorization of 29337

Now multiplying the highest exponent prime factors to calculate the LCM of 29320 and 29337.

LCM(29320,29337) = 2³ × 5¹ × 733¹ × 3¹ × 7¹ × 11¹ × 127¹
LCM(29320,29337) = 860160840