What is the Least Common Multiple of 87993 and 87997?

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 87993 and 87997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87993 and 87997, than apply into the LCM equation.

GCF(87993,87997) = 1
LCM(87993,87997) = ( 87993 × 87997) / 1
LCM(87993,87997) = 7743120021 / 1
LCM(87993,87997) = 7743120021

Least Common Multiple (LCM) of 87993 and 87997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87993 and 87997. First we will calculate the prime factors of 87993 and 87997.

Prime Factorization of 87993

Prime Factorization of 87997

Now multiplying the highest exponent prime factors to calculate the LCM of 87993 and 87997.

LCM(87993,87997) = 3³ × 3259¹ × 7¹ × 13¹ × 967¹
LCM(87993,87997) = 7743120021