What is the Least Common Multiple of 60333 and 60342?

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 60333 and 60342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60333 and 60342, than apply into the LCM equation.

GCF(60333,60342) = 3
LCM(60333,60342) = ( 60333 × 60342) / 3
LCM(60333,60342) = 3640613886 / 3
LCM(60333,60342) = 1213537962

Least Common Multiple (LCM) of 60333 and 60342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60333 and 60342. First we will calculate the prime factors of 60333 and 60342.

Prime Factorization of 60333

Prime Factorization of 60342

Now multiplying the highest exponent prime factors to calculate the LCM of 60333 and 60342.

LCM(60333,60342) = 3¹ × 7¹ × 13² × 17¹ × 2¹ × 89¹ × 113¹
LCM(60333,60342) = 1213537962