What is the Least Common Multiple of 87873 and 87892?

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 87873 and 87892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87873 and 87892, than apply into the LCM equation.

GCF(87873,87892) = 1
LCM(87873,87892) = ( 87873 × 87892) / 1
LCM(87873,87892) = 7723333716 / 1
LCM(87873,87892) = 7723333716

Least Common Multiple (LCM) of 87873 and 87892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87873 and 87892. First we will calculate the prime factors of 87873 and 87892.

Prime Factorization of 87873

Prime Factorization of 87892

Now multiplying the highest exponent prime factors to calculate the LCM of 87873 and 87892.

LCM(87873,87892) = 3¹ × 17¹ × 1723¹ × 2² × 7¹ × 43¹ × 73¹
LCM(87873,87892) = 7723333716