What is the Least Common Multiple of 65241 and 65249?

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 65241 and 65249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65241 and 65249, than apply into the LCM equation.

GCF(65241,65249) = 1
LCM(65241,65249) = ( 65241 × 65249) / 1
LCM(65241,65249) = 4256910009 / 1
LCM(65241,65249) = 4256910009

Least Common Multiple (LCM) of 65241 and 65249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65241 and 65249. First we will calculate the prime factors of 65241 and 65249.

Prime Factorization of 65241

Prime Factorization of 65249

Now multiplying the highest exponent prime factors to calculate the LCM of 65241 and 65249.

LCM(65241,65249) = 3² × 11¹ × 659¹ × 71¹ × 919¹
LCM(65241,65249) = 4256910009