What is the Least Common Multiple of 65548 and 65562?

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 65548 and 65562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65548 and 65562, than apply into the LCM equation.

GCF(65548,65562) = 14
LCM(65548,65562) = ( 65548 × 65562) / 14
LCM(65548,65562) = 4297457976 / 14
LCM(65548,65562) = 306961284

Least Common Multiple (LCM) of 65548 and 65562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65548 and 65562. First we will calculate the prime factors of 65548 and 65562.

Prime Factorization of 65548

Prime Factorization of 65562

Now multiplying the highest exponent prime factors to calculate the LCM of 65548 and 65562.

LCM(65548,65562) = 2² × 7² × 2341¹ × 3¹ × 223¹
LCM(65548,65562) = 306961284