What is the Least Common Multiple of 60249 and 60260?

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 60249 and 60260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60249 and 60260, than apply into the LCM equation.

GCF(60249,60260) = 1
LCM(60249,60260) = ( 60249 × 60260) / 1
LCM(60249,60260) = 3630604740 / 1
LCM(60249,60260) = 3630604740

Least Common Multiple (LCM) of 60249 and 60260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60249 and 60260. First we will calculate the prime factors of 60249 and 60260.

Prime Factorization of 60249

Prime Factorization of 60260

Now multiplying the highest exponent prime factors to calculate the LCM of 60249 and 60260.

LCM(60249,60260) = 3¹ × 7¹ × 19¹ × 151¹ × 2² × 5¹ × 23¹ × 131¹
LCM(60249,60260) = 3630604740