What is the Least Common Multiple of 87355 and 87365?

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 87355 and 87365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87355 and 87365, than apply into the LCM equation.

GCF(87355,87365) = 5
LCM(87355,87365) = ( 87355 × 87365) / 5
LCM(87355,87365) = 7631769575 / 5
LCM(87355,87365) = 1526353915

Least Common Multiple (LCM) of 87355 and 87365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87355 and 87365. First we will calculate the prime factors of 87355 and 87365.

Prime Factorization of 87355

Prime Factorization of 87365

Now multiplying the highest exponent prime factors to calculate the LCM of 87355 and 87365.

LCM(87355,87365) = 5¹ × 17471¹ × 101¹ × 173¹
LCM(87355,87365) = 1526353915