What is the Least Common Multiple of 60555 and 60565?

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 60555 and 60565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60555 and 60565, than apply into the LCM equation.

GCF(60555,60565) = 5
LCM(60555,60565) = ( 60555 × 60565) / 5
LCM(60555,60565) = 3667513575 / 5
LCM(60555,60565) = 733502715

Least Common Multiple (LCM) of 60555 and 60565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60555 and 60565. First we will calculate the prime factors of 60555 and 60565.

Prime Factorization of 60555

Prime Factorization of 60565

Now multiplying the highest exponent prime factors to calculate the LCM of 60555 and 60565.

LCM(60555,60565) = 3¹ × 5¹ × 11¹ × 367¹ × 12113¹
LCM(60555,60565) = 733502715