GCF and LCM Calculator Logo

What is the Least Common Multiple of 66276 and 66290?

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 66276 and 66290 is 313816860.

LCM(66276,66290) = 313816860

LCM Calculator and
and

Least Common Multiple of 66276 and 66290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66276 and 66290, than apply into the LCM equation.

GCF(66276,66290) = 14
LCM(66276,66290) = ( 66276 × 66290) / 14
LCM(66276,66290) = 4393436040 / 14
LCM(66276,66290) = 313816860

Least Common Multiple (LCM) of 66276 and 66290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66276 and 66290. First we will calculate the prime factors of 66276 and 66290.

Prime Factorization of 66276

Prime factors of 66276 are 2, 3, 7, 263. Prime factorization of 66276 in exponential form is:

66276 = 22 × 32 × 71 × 2631

Prime Factorization of 66290

Prime factors of 66290 are 2, 5, 7, 947. Prime factorization of 66290 in exponential form is:

66290 = 21 × 51 × 71 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 66276 and 66290.

LCM(66276,66290) = 22 × 32 × 71 × 2631 × 51 × 9471
LCM(66276,66290) = 313816860