What is the Least Common Multiple of 87384 and 87394?

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 87394 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 87394, than apply into the LCM equation.

GCF(87384,87394) = 2
LCM(87384,87394) = ( 87384 × 87394) / 2
LCM(87384,87394) = 7636837296 / 2
LCM(87384,87394) = 3818418648

Least Common Multiple (LCM) of 87384 and 87394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87384 and 87394. First we will calculate the prime factors of 87384 and 87394.

Prime Factorization of 87384

Prime Factorization of 87394

Now multiplying the highest exponent prime factors to calculate the LCM of 87384 and 87394.

LCM(87384,87394) = 2³ × 3¹ × 11¹ × 331¹ × 37¹ × 1181¹
LCM(87384,87394) = 3818418648