GCF and LCM Calculator Logo

What is the Least Common Multiple of 65298 and 65302?

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 65298 and 65302 is 2132044998.

LCM(65298,65302) = 2132044998

LCM Calculator and
and

Least Common Multiple of 65298 and 65302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65298 and 65302, than apply into the LCM equation.

GCF(65298,65302) = 2
LCM(65298,65302) = ( 65298 × 65302) / 2
LCM(65298,65302) = 4264089996 / 2
LCM(65298,65302) = 2132044998

Least Common Multiple (LCM) of 65298 and 65302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65298 and 65302. First we will calculate the prime factors of 65298 and 65302.

Prime Factorization of 65298

Prime factors of 65298 are 2, 3, 10883. Prime factorization of 65298 in exponential form is:

65298 = 21 × 31 × 108831

Prime Factorization of 65302

Prime factors of 65302 are 2, 103, 317. Prime factorization of 65302 in exponential form is:

65302 = 21 × 1031 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 65298 and 65302.

LCM(65298,65302) = 21 × 31 × 108831 × 1031 × 3171
LCM(65298,65302) = 2132044998