What is the Least Common Multiple of 87717 and 87726?

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 87717 and 87726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87717 and 87726, than apply into the LCM equation.

GCF(87717,87726) = 3
LCM(87717,87726) = ( 87717 × 87726) / 3
LCM(87717,87726) = 7695061542 / 3
LCM(87717,87726) = 2565020514

Least Common Multiple (LCM) of 87717 and 87726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87717 and 87726. First we will calculate the prime factors of 87717 and 87726.

Prime Factorization of 87717

Prime Factorization of 87726

Now multiplying the highest exponent prime factors to calculate the LCM of 87717 and 87726.

LCM(87717,87726) = 3¹ × 7¹ × 4177¹ × 2¹ × 14621¹
LCM(87717,87726) = 2565020514