GCF and LCM Calculator Logo

What is the Least Common Multiple of 65496 and 65516?

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 65496 and 65516 is 1072758984.

LCM(65496,65516) = 1072758984

LCM Calculator and
and

Least Common Multiple of 65496 and 65516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65496 and 65516, than apply into the LCM equation.

GCF(65496,65516) = 4
LCM(65496,65516) = ( 65496 × 65516) / 4
LCM(65496,65516) = 4291035936 / 4
LCM(65496,65516) = 1072758984

Least Common Multiple (LCM) of 65496 and 65516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65496 and 65516. First we will calculate the prime factors of 65496 and 65516.

Prime Factorization of 65496

Prime factors of 65496 are 2, 3, 2729. Prime factorization of 65496 in exponential form is:

65496 = 23 × 31 × 27291

Prime Factorization of 65516

Prime factors of 65516 are 2, 11, 1489. Prime factorization of 65516 in exponential form is:

65516 = 22 × 111 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 65496 and 65516.

LCM(65496,65516) = 23 × 31 × 27291 × 111 × 14891
LCM(65496,65516) = 1072758984