What is the Least Common Multiple of 8980 and 9000?

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 8980 and 9000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8980 and 9000, than apply into the LCM equation.

GCF(8980,9000) = 20
LCM(8980,9000) = ( 8980 × 9000) / 20
LCM(8980,9000) = 80820000 / 20
LCM(8980,9000) = 4041000

Least Common Multiple (LCM) of 8980 and 9000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8980 and 9000. First we will calculate the prime factors of 8980 and 9000.

Prime Factorization of 8980

Prime Factorization of 9000

Now multiplying the highest exponent prime factors to calculate the LCM of 8980 and 9000.

LCM(8980,9000) = 2³ × 5³ × 449¹ × 3²
LCM(8980,9000) = 4041000