What is the Least Common Multiple of 87375 and 87384?

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 87375 and 87384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87375 and 87384, than apply into the LCM equation.

GCF(87375,87384) = 3
LCM(87375,87384) = ( 87375 × 87384) / 3
LCM(87375,87384) = 7635177000 / 3
LCM(87375,87384) = 2545059000

Least Common Multiple (LCM) of 87375 and 87384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87375 and 87384. First we will calculate the prime factors of 87375 and 87384.

Prime Factorization of 87375

Prime Factorization of 87384

Now multiplying the highest exponent prime factors to calculate the LCM of 87375 and 87384.

LCM(87375,87384) = 3¹ × 5³ × 233¹ × 2³ × 11¹ × 331¹
LCM(87375,87384) = 2545059000