What is the Least Common Multiple of 87380 and 87385?

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 87380 and 87385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87380 and 87385, than apply into the LCM equation.

GCF(87380,87385) = 5
LCM(87380,87385) = ( 87380 × 87385) / 5
LCM(87380,87385) = 7635701300 / 5
LCM(87380,87385) = 1527140260

Least Common Multiple (LCM) of 87380 and 87385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87380 and 87385. First we will calculate the prime factors of 87380 and 87385.

Prime Factorization of 87380

Prime Factorization of 87385

Now multiplying the highest exponent prime factors to calculate the LCM of 87380 and 87385.

LCM(87380,87385) = 2² × 5¹ × 17¹ × 257¹ × 17477¹
LCM(87380,87385) = 1527140260