GCF and LCM Calculator Logo

What is the Least Common Multiple of 65196 and 65210?

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 65196 and 65210 is 2125715580.

LCM(65196,65210) = 2125715580

LCM Calculator and
and

Least Common Multiple of 65196 and 65210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65196 and 65210, than apply into the LCM equation.

GCF(65196,65210) = 2
LCM(65196,65210) = ( 65196 × 65210) / 2
LCM(65196,65210) = 4251431160 / 2
LCM(65196,65210) = 2125715580

Least Common Multiple (LCM) of 65196 and 65210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65196 and 65210. First we will calculate the prime factors of 65196 and 65210.

Prime Factorization of 65196

Prime factors of 65196 are 2, 3, 1811. Prime factorization of 65196 in exponential form is:

65196 = 22 × 32 × 18111

Prime Factorization of 65210

Prime factors of 65210 are 2, 5, 6521. Prime factorization of 65210 in exponential form is:

65210 = 21 × 51 × 65211

Now multiplying the highest exponent prime factors to calculate the LCM of 65196 and 65210.

LCM(65196,65210) = 22 × 32 × 18111 × 51 × 65211
LCM(65196,65210) = 2125715580