What is the Least Common Multiple of 87990 and 88000?

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 87990 and 88000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87990 and 88000, than apply into the LCM equation.

GCF(87990,88000) = 10
LCM(87990,88000) = ( 87990 × 88000) / 10
LCM(87990,88000) = 7743120000 / 10
LCM(87990,88000) = 774312000

Least Common Multiple (LCM) of 87990 and 88000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87990 and 88000. First we will calculate the prime factors of 87990 and 88000.

Prime Factorization of 87990

Prime Factorization of 88000

Now multiplying the highest exponent prime factors to calculate the LCM of 87990 and 88000.

LCM(87990,88000) = 2⁶ × 3¹ × 5³ × 7¹ × 419¹ × 11¹
LCM(87990,88000) = 774312000