What is the Least Common Multiple of 60765 and 60785?

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 60765 and 60785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60765 and 60785, than apply into the LCM equation.

GCF(60765,60785) = 5
LCM(60765,60785) = ( 60765 × 60785) / 5
LCM(60765,60785) = 3693600525 / 5
LCM(60765,60785) = 738720105

Least Common Multiple (LCM) of 60765 and 60785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60765 and 60785. First we will calculate the prime factors of 60765 and 60785.

Prime Factorization of 60765

Prime Factorization of 60785

Now multiplying the highest exponent prime factors to calculate the LCM of 60765 and 60785.

LCM(60765,60785) = 3¹ × 5¹ × 4051¹ × 12157¹
LCM(60765,60785) = 738720105