What is the Least Common Multiple of 65545 and 65564?

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 of 65545 and 65564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65545 and 65564, than apply into the LCM equation.

GCF(65545,65564) = 1
LCM(65545,65564) = ( 65545 × 65564) / 1
LCM(65545,65564) = 4297392380 / 1
LCM(65545,65564) = 4297392380

Least Common Multiple (LCM) of 65545 and 65564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65545 and 65564. First we will calculate the prime factors of 65545 and 65564.

Prime Factorization of 65545

Prime Factorization of 65564

Now multiplying the highest exponent prime factors to calculate the LCM of 65545 and 65564.

LCM(65545,65564) = 5¹ × 13109¹ × 2² × 37¹ × 443¹
LCM(65545,65564) = 4297392380