What is the Least Common Multiple of 60240 and 60245?

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 60240 and 60245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60240 and 60245, than apply into the LCM equation.

GCF(60240,60245) = 5
LCM(60240,60245) = ( 60240 × 60245) / 5
LCM(60240,60245) = 3629158800 / 5
LCM(60240,60245) = 725831760

Least Common Multiple (LCM) of 60240 and 60245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60240 and 60245. First we will calculate the prime factors of 60240 and 60245.

Prime Factorization of 60240

Prime Factorization of 60245

Now multiplying the highest exponent prime factors to calculate the LCM of 60240 and 60245.

LCM(60240,60245) = 2⁴ × 3¹ × 5¹ × 251¹ × 12049¹
LCM(60240,60245) = 725831760