What is the Least Common Multiple of 29370 and 29382?

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 29370 and 29382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29370 and 29382, than apply into the LCM equation.

GCF(29370,29382) = 6
LCM(29370,29382) = ( 29370 × 29382) / 6
LCM(29370,29382) = 862949340 / 6
LCM(29370,29382) = 143824890

Least Common Multiple (LCM) of 29370 and 29382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29370 and 29382. First we will calculate the prime factors of 29370 and 29382.

Prime Factorization of 29370

Prime Factorization of 29382

Now multiplying the highest exponent prime factors to calculate the LCM of 29370 and 29382.

LCM(29370,29382) = 2¹ × 3¹ × 5¹ × 11¹ × 89¹ × 59¹ × 83¹
LCM(29370,29382) = 143824890