What is the Least Common Multiple of 65473 and 65481?

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 65473 and 65481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65473 and 65481, than apply into the LCM equation.

GCF(65473,65481) = 1
LCM(65473,65481) = ( 65473 × 65481) / 1
LCM(65473,65481) = 4287237513 / 1
LCM(65473,65481) = 4287237513

Least Common Multiple (LCM) of 65473 and 65481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65473 and 65481. First we will calculate the prime factors of 65473 and 65481.

Prime Factorization of 65473

Prime Factorization of 65481

Now multiplying the highest exponent prime factors to calculate the LCM of 65473 and 65481.

LCM(65473,65481) = 233¹ × 281¹ × 3¹ × 13¹ × 23¹ × 73¹
LCM(65473,65481) = 4287237513