What is the Least Common Multiple of 87023 and 87040?

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 87023 and 87040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87023 and 87040, than apply into the LCM equation.

GCF(87023,87040) = 17
LCM(87023,87040) = ( 87023 × 87040) / 17
LCM(87023,87040) = 7574481920 / 17
LCM(87023,87040) = 445557760

Least Common Multiple (LCM) of 87023 and 87040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87023 and 87040. First we will calculate the prime factors of 87023 and 87040.

Prime Factorization of 87023

Prime Factorization of 87040

Now multiplying the highest exponent prime factors to calculate the LCM of 87023 and 87040.

LCM(87023,87040) = 17¹ × 5119¹ × 2¹⁰ × 5¹
LCM(87023,87040) = 445557760