What is the Least Common Multiple of 29360 and 29368?

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 29360 and 29368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29360 and 29368, than apply into the LCM equation.

GCF(29360,29368) = 8
LCM(29360,29368) = ( 29360 × 29368) / 8
LCM(29360,29368) = 862244480 / 8
LCM(29360,29368) = 107780560

Least Common Multiple (LCM) of 29360 and 29368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29360 and 29368. First we will calculate the prime factors of 29360 and 29368.

Prime Factorization of 29360

Prime Factorization of 29368

Now multiplying the highest exponent prime factors to calculate the LCM of 29360 and 29368.

LCM(29360,29368) = 2⁴ × 5¹ × 367¹ × 3671¹
LCM(29360,29368) = 107780560