What is the Least Common Multiple of 65745 and 65754?

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 65745 and 65754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65745 and 65754, than apply into the LCM equation.

GCF(65745,65754) = 9
LCM(65745,65754) = ( 65745 × 65754) / 9
LCM(65745,65754) = 4322996730 / 9
LCM(65745,65754) = 480332970

Least Common Multiple (LCM) of 65745 and 65754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65745 and 65754. First we will calculate the prime factors of 65745 and 65754.

Prime Factorization of 65745

Prime Factorization of 65754

Now multiplying the highest exponent prime factors to calculate the LCM of 65745 and 65754.

LCM(65745,65754) = 3³ × 5¹ × 487¹ × 2¹ × 13¹ × 281¹
LCM(65745,65754) = 480332970