What is the Least Common Multiple of 87801 and 87808?

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 87801 and 87808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87801 and 87808, than apply into the LCM equation.

GCF(87801,87808) = 7
LCM(87801,87808) = ( 87801 × 87808) / 7
LCM(87801,87808) = 7709630208 / 7
LCM(87801,87808) = 1101375744

Least Common Multiple (LCM) of 87801 and 87808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87801 and 87808. First we will calculate the prime factors of 87801 and 87808.

Prime Factorization of 87801

Prime Factorization of 87808

Now multiplying the highest exponent prime factors to calculate the LCM of 87801 and 87808.

LCM(87801,87808) = 3¹ × 7³ × 37¹ × 113¹ × 2⁸
LCM(87801,87808) = 1101375744