What is the Least Common Multiple of 87713 and 87733?

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 87713 and 87733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87713 and 87733, than apply into the LCM equation.

GCF(87713,87733) = 1
LCM(87713,87733) = ( 87713 × 87733) / 1
LCM(87713,87733) = 7695324629 / 1
LCM(87713,87733) = 7695324629

Least Common Multiple (LCM) of 87713 and 87733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87713 and 87733. First we will calculate the prime factors of 87713 and 87733.

Prime Factorization of 87713

Prime Factorization of 87733

Now multiplying the highest exponent prime factors to calculate the LCM of 87713 and 87733.

LCM(87713,87733) = 239¹ × 367¹ × 59¹ × 1487¹
LCM(87713,87733) = 7695324629