GCF and LCM Calculator Logo

What is the Least Common Multiple of 65445 and 65460?

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 65445 and 65460 is 285601980.

LCM(65445,65460) = 285601980

LCM Calculator and
and

Least Common Multiple of 65445 and 65460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65445 and 65460, than apply into the LCM equation.

GCF(65445,65460) = 15
LCM(65445,65460) = ( 65445 × 65460) / 15
LCM(65445,65460) = 4284029700 / 15
LCM(65445,65460) = 285601980

Least Common Multiple (LCM) of 65445 and 65460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65445 and 65460. First we will calculate the prime factors of 65445 and 65460.

Prime Factorization of 65445

Prime factors of 65445 are 3, 5, 4363. Prime factorization of 65445 in exponential form is:

65445 = 31 × 51 × 43631

Prime Factorization of 65460

Prime factors of 65460 are 2, 3, 5, 1091. Prime factorization of 65460 in exponential form is:

65460 = 22 × 31 × 51 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 65445 and 65460.

LCM(65445,65460) = 31 × 51 × 43631 × 22 × 10911
LCM(65445,65460) = 285601980