GCF and LCM Calculator Logo

What is the Least Common Multiple of 66979 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 (LCM) of 66979 and 66990 is 407902110.

LCM(66979,66990) = 407902110

LCM Calculator and
and

Least Common Multiple of 66979 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 66979 and 66990, than apply into the LCM equation.

GCF(66979,66990) = 11
LCM(66979,66990) = ( 66979 × 66990) / 11
LCM(66979,66990) = 4486923210 / 11
LCM(66979,66990) = 407902110

Least Common Multiple (LCM) of 66979 and 66990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66979 and 66990. First we will calculate the prime factors of 66979 and 66990.

Prime Factorization of 66979

Prime factors of 66979 are 11, 6089. Prime factorization of 66979 in exponential form is:

66979 = 111 × 60891

Prime Factorization of 66990

Prime factors of 66990 are 2, 3, 5, 7, 11, 29. Prime factorization of 66990 in exponential form is:

66990 = 21 × 31 × 51 × 71 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 66979 and 66990.

LCM(66979,66990) = 111 × 60891 × 21 × 31 × 51 × 71 × 291
LCM(66979,66990) = 407902110