GCF and LCM Calculator Logo

What is the Least Common Multiple of 65364 and 65372?

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 65364 and 65372 is 1068243852.

LCM(65364,65372) = 1068243852

LCM Calculator and
and

Least Common Multiple of 65364 and 65372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65364 and 65372, than apply into the LCM equation.

GCF(65364,65372) = 4
LCM(65364,65372) = ( 65364 × 65372) / 4
LCM(65364,65372) = 4272975408 / 4
LCM(65364,65372) = 1068243852

Least Common Multiple (LCM) of 65364 and 65372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65364 and 65372. First we will calculate the prime factors of 65364 and 65372.

Prime Factorization of 65364

Prime factors of 65364 are 2, 3, 13, 419. Prime factorization of 65364 in exponential form is:

65364 = 22 × 31 × 131 × 4191

Prime Factorization of 65372

Prime factors of 65372 are 2, 59, 277. Prime factorization of 65372 in exponential form is:

65372 = 22 × 591 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 65364 and 65372.

LCM(65364,65372) = 22 × 31 × 131 × 4191 × 591 × 2771
LCM(65364,65372) = 1068243852