What is the Least Common Multiple of 66990 and 67000?

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 66990 and 67000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66990 and 67000, than apply into the LCM equation.

GCF(66990,67000) = 10
LCM(66990,67000) = ( 66990 × 67000) / 10
LCM(66990,67000) = 4488330000 / 10
LCM(66990,67000) = 448833000

Least Common Multiple (LCM) of 66990 and 67000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66990 and 67000. First we will calculate the prime factors of 66990 and 67000.

Prime Factorization of 66990

Prime Factorization of 67000

Now multiplying the highest exponent prime factors to calculate the LCM of 66990 and 67000.

LCM(66990,67000) = 2³ × 3¹ × 5³ × 7¹ × 11¹ × 29¹ × 67¹
LCM(66990,67000) = 448833000