What is the Least Common Multiple of 87677 and 87686?

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 87677 and 87686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87677 and 87686, than apply into the LCM equation.

GCF(87677,87686) = 1
LCM(87677,87686) = ( 87677 × 87686) / 1
LCM(87677,87686) = 7688045422 / 1
LCM(87677,87686) = 7688045422

Least Common Multiple (LCM) of 87677 and 87686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87677 and 87686. First we will calculate the prime factors of 87677 and 87686.

Prime Factorization of 87677

Prime Factorization of 87686

Now multiplying the highest exponent prime factors to calculate the LCM of 87677 and 87686.

LCM(87677,87686) = 43¹ × 2039¹ × 2¹ × 17¹ × 2579¹
LCM(87677,87686) = 7688045422