What is the Least Common Multiple of 87836 and 87850?

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 87836 and 87850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87836 and 87850, than apply into the LCM equation.

GCF(87836,87850) = 14
LCM(87836,87850) = ( 87836 × 87850) / 14
LCM(87836,87850) = 7716392600 / 14
LCM(87836,87850) = 551170900

Least Common Multiple (LCM) of 87836 and 87850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87836 and 87850. First we will calculate the prime factors of 87836 and 87850.

Prime Factorization of 87836

Prime Factorization of 87850

Now multiplying the highest exponent prime factors to calculate the LCM of 87836 and 87850.

LCM(87836,87850) = 2² × 7¹ × 3137¹ × 5² × 251¹
LCM(87836,87850) = 551170900