What is the Least Common Multiple of 89785 and 89800?

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 89785 and 89800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89785 and 89800, than apply into the LCM equation.

GCF(89785,89800) = 5
LCM(89785,89800) = ( 89785 × 89800) / 5
LCM(89785,89800) = 8062693000 / 5
LCM(89785,89800) = 1612538600

Least Common Multiple (LCM) of 89785 and 89800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89785 and 89800. First we will calculate the prime factors of 89785 and 89800.

Prime Factorization of 89785

Prime Factorization of 89800

Now multiplying the highest exponent prime factors to calculate the LCM of 89785 and 89800.

LCM(89785,89800) = 5² × 17957¹ × 2³ × 449¹
LCM(89785,89800) = 1612538600