GCF and LCM Calculator Logo

What is the Least Common Multiple of 66199 and 66206?

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 66199 and 66206 is 626110142.

LCM(66199,66206) = 626110142

LCM Calculator and
and

Least Common Multiple of 66199 and 66206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66199 and 66206, than apply into the LCM equation.

GCF(66199,66206) = 7
LCM(66199,66206) = ( 66199 × 66206) / 7
LCM(66199,66206) = 4382770994 / 7
LCM(66199,66206) = 626110142

Least Common Multiple (LCM) of 66199 and 66206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66199 and 66206. First we will calculate the prime factors of 66199 and 66206.

Prime Factorization of 66199

Prime factors of 66199 are 7, 193. Prime factorization of 66199 in exponential form is:

66199 = 73 × 1931

Prime Factorization of 66206

Prime factors of 66206 are 2, 7, 4729. Prime factorization of 66206 in exponential form is:

66206 = 21 × 71 × 47291

Now multiplying the highest exponent prime factors to calculate the LCM of 66199 and 66206.

LCM(66199,66206) = 73 × 1931 × 21 × 47291
LCM(66199,66206) = 626110142