What is the Least Common Multiple of 87384 and 87390?

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 87390 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 87390, than apply into the LCM equation.

GCF(87384,87390) = 6
LCM(87384,87390) = ( 87384 × 87390) / 6
LCM(87384,87390) = 7636487760 / 6
LCM(87384,87390) = 1272747960

Least Common Multiple (LCM) of 87384 and 87390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87384 and 87390. First we will calculate the prime factors of 87384 and 87390.

Prime Factorization of 87384

Prime Factorization of 87390

Now multiplying the highest exponent prime factors to calculate the LCM of 87384 and 87390.

LCM(87384,87390) = 2³ × 3² × 11¹ × 331¹ × 5¹ × 971¹
LCM(87384,87390) = 1272747960