What is the Least Common Multiple of 60933 and 60945?

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 60933 and 60945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60933 and 60945, than apply into the LCM equation.

GCF(60933,60945) = 3
LCM(60933,60945) = ( 60933 × 60945) / 3
LCM(60933,60945) = 3713561685 / 3
LCM(60933,60945) = 1237853895

Least Common Multiple (LCM) of 60933 and 60945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60933 and 60945. First we will calculate the prime factors of 60933 and 60945.

Prime Factorization of 60933

Prime Factorization of 60945

Now multiplying the highest exponent prime factors to calculate the LCM of 60933 and 60945.

LCM(60933,60945) = 3¹ × 19¹ × 1069¹ × 5¹ × 17¹ × 239¹
LCM(60933,60945) = 1237853895