What is the Least Common Multiple of 89800 and 89814?

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 89800 and 89814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89800 and 89814, than apply into the LCM equation.

GCF(89800,89814) = 2
LCM(89800,89814) = ( 89800 × 89814) / 2
LCM(89800,89814) = 8065297200 / 2
LCM(89800,89814) = 4032648600

Least Common Multiple (LCM) of 89800 and 89814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89800 and 89814. First we will calculate the prime factors of 89800 and 89814.

Prime Factorization of 89800

Prime Factorization of 89814

Now multiplying the highest exponent prime factors to calculate the LCM of 89800 and 89814.

LCM(89800,89814) = 2³ × 5² × 449¹ × 3¹ × 14969¹
LCM(89800,89814) = 4032648600