What is the Least Common Multiple of 75765 and 75785?

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 75765 and 75785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75765 and 75785, than apply into the LCM equation.

GCF(75765,75785) = 5
LCM(75765,75785) = ( 75765 × 75785) / 5
LCM(75765,75785) = 5741850525 / 5
LCM(75765,75785) = 1148370105

Least Common Multiple (LCM) of 75765 and 75785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75765 and 75785. First we will calculate the prime factors of 75765 and 75785.

Prime Factorization of 75765

Prime Factorization of 75785

Now multiplying the highest exponent prime factors to calculate the LCM of 75765 and 75785.

LCM(75765,75785) = 3¹ × 5¹ × 5051¹ × 23¹ × 659¹
LCM(75765,75785) = 1148370105