What is the Least Common Multiple of 65427 and 65445?

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 65427 and 65445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65427 and 65445, than apply into the LCM equation.

GCF(65427,65445) = 3
LCM(65427,65445) = ( 65427 × 65445) / 3
LCM(65427,65445) = 4281870015 / 3
LCM(65427,65445) = 1427290005

Least Common Multiple (LCM) of 65427 and 65445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65427 and 65445. First we will calculate the prime factors of 65427 and 65445.

Prime Factorization of 65427

Prime Factorization of 65445

Now multiplying the highest exponent prime factors to calculate the LCM of 65427 and 65445.

LCM(65427,65445) = 3¹ × 113¹ × 193¹ × 5¹ × 4363¹
LCM(65427,65445) = 1427290005