What is the Least Common Multiple of 65945 and 65951?

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 65945 and 65951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65945 and 65951, than apply into the LCM equation.

GCF(65945,65951) = 1
LCM(65945,65951) = ( 65945 × 65951) / 1
LCM(65945,65951) = 4349138695 / 1
LCM(65945,65951) = 4349138695

Least Common Multiple (LCM) of 65945 and 65951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65945 and 65951. First we will calculate the prime factors of 65945 and 65951.

Prime Factorization of 65945

Prime Factorization of 65951

Now multiplying the highest exponent prime factors to calculate the LCM of 65945 and 65951.

LCM(65945,65951) = 5¹ × 11² × 109¹ × 65951¹
LCM(65945,65951) = 4349138695