GCF and LCM Calculator Logo

What is the Least Common Multiple of 65914 and 65921?

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 65914 and 65921 is 4345116794.

LCM(65914,65921) = 4345116794

LCM Calculator and
and

Least Common Multiple of 65914 and 65921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65914 and 65921, than apply into the LCM equation.

GCF(65914,65921) = 1
LCM(65914,65921) = ( 65914 × 65921) / 1
LCM(65914,65921) = 4345116794 / 1
LCM(65914,65921) = 4345116794

Least Common Multiple (LCM) of 65914 and 65921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65914 and 65921. First we will calculate the prime factors of 65914 and 65921.

Prime Factorization of 65914

Prime factors of 65914 are 2, 32957. Prime factorization of 65914 in exponential form is:

65914 = 21 × 329571

Prime Factorization of 65921

Prime factors of 65921 are 65921. Prime factorization of 65921 in exponential form is:

65921 = 659211

Now multiplying the highest exponent prime factors to calculate the LCM of 65914 and 65921.

LCM(65914,65921) = 21 × 329571 × 659211
LCM(65914,65921) = 4345116794