GCF and LCM Calculator Logo

What is the Least Common Multiple of 66260 and 66265?

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 66260 and 66265 is 878143780.

LCM(66260,66265) = 878143780

LCM Calculator and
and

Least Common Multiple of 66260 and 66265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66260 and 66265, than apply into the LCM equation.

GCF(66260,66265) = 5
LCM(66260,66265) = ( 66260 × 66265) / 5
LCM(66260,66265) = 4390718900 / 5
LCM(66260,66265) = 878143780

Least Common Multiple (LCM) of 66260 and 66265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66260 and 66265. First we will calculate the prime factors of 66260 and 66265.

Prime Factorization of 66260

Prime factors of 66260 are 2, 5, 3313. Prime factorization of 66260 in exponential form is:

66260 = 22 × 51 × 33131

Prime Factorization of 66265

Prime factors of 66265 are 5, 29, 457. Prime factorization of 66265 in exponential form is:

66265 = 51 × 291 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 66260 and 66265.

LCM(66260,66265) = 22 × 51 × 33131 × 291 × 4571
LCM(66260,66265) = 878143780