What is the Least Common Multiple of 60330 and 60350?

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 60330 and 60350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60330 and 60350, than apply into the LCM equation.

GCF(60330,60350) = 10
LCM(60330,60350) = ( 60330 × 60350) / 10
LCM(60330,60350) = 3640915500 / 10
LCM(60330,60350) = 364091550

Least Common Multiple (LCM) of 60330 and 60350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60330 and 60350. First we will calculate the prime factors of 60330 and 60350.

Prime Factorization of 60330

Prime Factorization of 60350

Now multiplying the highest exponent prime factors to calculate the LCM of 60330 and 60350.

LCM(60330,60350) = 2¹ × 3¹ × 5² × 2011¹ × 17¹ × 71¹
LCM(60330,60350) = 364091550