What is the Least Common Multiple of 87300 and 87314?

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 87300 and 87314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87300 and 87314, than apply into the LCM equation.

GCF(87300,87314) = 2
LCM(87300,87314) = ( 87300 × 87314) / 2
LCM(87300,87314) = 7622512200 / 2
LCM(87300,87314) = 3811256100

Least Common Multiple (LCM) of 87300 and 87314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87300 and 87314. First we will calculate the prime factors of 87300 and 87314.

Prime Factorization of 87300

Prime Factorization of 87314

Now multiplying the highest exponent prime factors to calculate the LCM of 87300 and 87314.

LCM(87300,87314) = 2² × 3² × 5² × 97¹ × 149¹ × 293¹
LCM(87300,87314) = 3811256100