What is the Least Common Multiple of 87850 and 87856?

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 87850 and 87856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87850 and 87856, than apply into the LCM equation.

GCF(87850,87856) = 2
LCM(87850,87856) = ( 87850 × 87856) / 2
LCM(87850,87856) = 7718149600 / 2
LCM(87850,87856) = 3859074800

Least Common Multiple (LCM) of 87850 and 87856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87850 and 87856. First we will calculate the prime factors of 87850 and 87856.

Prime Factorization of 87850

Prime Factorization of 87856

Now multiplying the highest exponent prime factors to calculate the LCM of 87850 and 87856.

LCM(87850,87856) = 2⁴ × 5² × 7¹ × 251¹ × 17² × 19¹
LCM(87850,87856) = 3859074800