What is the Least Common Multiple of 90984 and 91000?

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 90984 and 91000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90984 and 91000, than apply into the LCM equation.

GCF(90984,91000) = 8
LCM(90984,91000) = ( 90984 × 91000) / 8
LCM(90984,91000) = 8279544000 / 8
LCM(90984,91000) = 1034943000

Least Common Multiple (LCM) of 90984 and 91000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90984 and 91000. First we will calculate the prime factors of 90984 and 91000.

Prime Factorization of 90984

Prime Factorization of 91000

Now multiplying the highest exponent prime factors to calculate the LCM of 90984 and 91000.

LCM(90984,91000) = 2³ × 3¹ × 17¹ × 223¹ × 5³ × 7¹ × 13¹
LCM(90984,91000) = 1034943000