What is the Least Common Multiple of 87380 and 87392?

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 87392 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 87392, than apply into the LCM equation.

GCF(87380,87392) = 4
LCM(87380,87392) = ( 87380 × 87392) / 4
LCM(87380,87392) = 7636312960 / 4
LCM(87380,87392) = 1909078240

Least Common Multiple (LCM) of 87380 and 87392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87380 and 87392. First we will calculate the prime factors of 87380 and 87392.

Prime Factorization of 87380

Prime Factorization of 87392

Now multiplying the highest exponent prime factors to calculate the LCM of 87380 and 87392.

LCM(87380,87392) = 2⁵ × 5¹ × 17¹ × 257¹ × 2731¹
LCM(87380,87392) = 1909078240