What is the Least Common Multiple of 65765 and 65785?

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 65765 and 65785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65765 and 65785, than apply into the LCM equation.

GCF(65765,65785) = 5
LCM(65765,65785) = ( 65765 × 65785) / 5
LCM(65765,65785) = 4326350525 / 5
LCM(65765,65785) = 865270105

Least Common Multiple (LCM) of 65765 and 65785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65765 and 65785. First we will calculate the prime factors of 65765 and 65785.

Prime Factorization of 65765

Prime Factorization of 65785

Now multiplying the highest exponent prime factors to calculate the LCM of 65765 and 65785.

LCM(65765,65785) = 5¹ × 7¹ × 1879¹ × 59¹ × 223¹
LCM(65765,65785) = 865270105