What is the Least Common Multiple of 87384 and 87404?

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 87384 and 87404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87384 and 87404, than apply into the LCM equation.

GCF(87384,87404) = 4
LCM(87384,87404) = ( 87384 × 87404) / 4
LCM(87384,87404) = 7637711136 / 4
LCM(87384,87404) = 1909427784

Least Common Multiple (LCM) of 87384 and 87404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87384 and 87404. First we will calculate the prime factors of 87384 and 87404.

Prime Factorization of 87384

Prime Factorization of 87404

Now multiplying the highest exponent prime factors to calculate the LCM of 87384 and 87404.

LCM(87384,87404) = 2³ × 3¹ × 11¹ × 331¹ × 21851¹
LCM(87384,87404) = 1909427784