What is the Least Common Multiple of 66975 and 66990?

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 66975 and 66990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66975 and 66990, than apply into the LCM equation.

GCF(66975,66990) = 15
LCM(66975,66990) = ( 66975 × 66990) / 15
LCM(66975,66990) = 4486655250 / 15
LCM(66975,66990) = 299110350

Least Common Multiple (LCM) of 66975 and 66990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66975 and 66990. First we will calculate the prime factors of 66975 and 66990.

Prime Factorization of 66975

Prime Factorization of 66990

Now multiplying the highest exponent prime factors to calculate the LCM of 66975 and 66990.

LCM(66975,66990) = 3¹ × 5² × 19¹ × 47¹ × 2¹ × 7¹ × 11¹ × 29¹
LCM(66975,66990) = 299110350