What is the Least Common Multiple of 65905 and 65925?

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 65905 and 65925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65905 and 65925, than apply into the LCM equation.

GCF(65905,65925) = 5
LCM(65905,65925) = ( 65905 × 65925) / 5
LCM(65905,65925) = 4344787125 / 5
LCM(65905,65925) = 868957425

Least Common Multiple (LCM) of 65905 and 65925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65905 and 65925. First we will calculate the prime factors of 65905 and 65925.

Prime Factorization of 65905

Prime Factorization of 65925

Now multiplying the highest exponent prime factors to calculate the LCM of 65905 and 65925.

LCM(65905,65925) = 5² × 7² × 269¹ × 3² × 293¹
LCM(65905,65925) = 868957425