GCF and LCM Calculator Logo

What is the Least Common Multiple of 65524 and 65542?

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 65524 and 65542 is 2147287004.

LCM(65524,65542) = 2147287004

LCM Calculator and
and

Least Common Multiple of 65524 and 65542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65524 and 65542, than apply into the LCM equation.

GCF(65524,65542) = 2
LCM(65524,65542) = ( 65524 × 65542) / 2
LCM(65524,65542) = 4294574008 / 2
LCM(65524,65542) = 2147287004

Least Common Multiple (LCM) of 65524 and 65542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65524 and 65542. First we will calculate the prime factors of 65524 and 65542.

Prime Factorization of 65524

Prime factors of 65524 are 2, 16381. Prime factorization of 65524 in exponential form is:

65524 = 22 × 163811

Prime Factorization of 65542

Prime factors of 65542 are 2, 32771. Prime factorization of 65542 in exponential form is:

65542 = 21 × 327711

Now multiplying the highest exponent prime factors to calculate the LCM of 65524 and 65542.

LCM(65524,65542) = 22 × 163811 × 327711
LCM(65524,65542) = 2147287004