What is the Least Common Multiple of 60272 and 60289?

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 60272 and 60289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60272 and 60289, than apply into the LCM equation.

GCF(60272,60289) = 1
LCM(60272,60289) = ( 60272 × 60289) / 1
LCM(60272,60289) = 3633738608 / 1
LCM(60272,60289) = 3633738608

Least Common Multiple (LCM) of 60272 and 60289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60272 and 60289. First we will calculate the prime factors of 60272 and 60289.

Prime Factorization of 60272

Prime Factorization of 60289

Now multiplying the highest exponent prime factors to calculate the LCM of 60272 and 60289.

LCM(60272,60289) = 2⁴ × 3767¹ × 60289¹
LCM(60272,60289) = 3633738608