What is the Least Common Multiple of 87314 and 87328?

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 87314 and 87328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87314 and 87328, than apply into the LCM equation.

GCF(87314,87328) = 2
LCM(87314,87328) = ( 87314 × 87328) / 2
LCM(87314,87328) = 7624956992 / 2
LCM(87314,87328) = 3812478496

Least Common Multiple (LCM) of 87314 and 87328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87314 and 87328. First we will calculate the prime factors of 87314 and 87328.

Prime Factorization of 87314

Prime Factorization of 87328

Now multiplying the highest exponent prime factors to calculate the LCM of 87314 and 87328.

LCM(87314,87328) = 2⁵ × 149¹ × 293¹ × 2729¹
LCM(87314,87328) = 3812478496