What is the Least Common Multiple of 85484 and 85499?

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 85484 and 85499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85484 and 85499, than apply into the LCM equation.

GCF(85484,85499) = 1
LCM(85484,85499) = ( 85484 × 85499) / 1
LCM(85484,85499) = 7308796516 / 1
LCM(85484,85499) = 7308796516

Least Common Multiple (LCM) of 85484 and 85499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85484 and 85499. First we will calculate the prime factors of 85484 and 85499.

Prime Factorization of 85484

Prime Factorization of 85499

Now multiplying the highest exponent prime factors to calculate the LCM of 85484 and 85499.

LCM(85484,85499) = 2² × 7¹ × 43¹ × 71¹ × 193¹ × 443¹
LCM(85484,85499) = 7308796516