What is the Least Common Multiple of 89850 and 89869?

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 89850 and 89869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89850 and 89869, than apply into the LCM equation.

GCF(89850,89869) = 1
LCM(89850,89869) = ( 89850 × 89869) / 1
LCM(89850,89869) = 8074729650 / 1
LCM(89850,89869) = 8074729650

Least Common Multiple (LCM) of 89850 and 89869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89850 and 89869. First we will calculate the prime factors of 89850 and 89869.

Prime Factorization of 89850

Prime Factorization of 89869

Now multiplying the highest exponent prime factors to calculate the LCM of 89850 and 89869.

LCM(89850,89869) = 2¹ × 3¹ × 5² × 599¹ × 13¹ × 31¹ × 223¹
LCM(89850,89869) = 8074729650