What is the Least Common Multiple of 29368 and 29374?

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 29368 and 29374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29368 and 29374, than apply into the LCM equation.

GCF(29368,29374) = 2
LCM(29368,29374) = ( 29368 × 29374) / 2
LCM(29368,29374) = 862655632 / 2
LCM(29368,29374) = 431327816

Least Common Multiple (LCM) of 29368 and 29374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29368 and 29374. First we will calculate the prime factors of 29368 and 29374.

Prime Factorization of 29368

Prime Factorization of 29374

Now multiplying the highest exponent prime factors to calculate the LCM of 29368 and 29374.

LCM(29368,29374) = 2³ × 3671¹ × 19¹ × 773¹
LCM(29368,29374) = 431327816