What is the Least Common Multiple of 60027 and 60038?

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 60027 and 60038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60027 and 60038, than apply into the LCM equation.

GCF(60027,60038) = 11
LCM(60027,60038) = ( 60027 × 60038) / 11
LCM(60027,60038) = 3603901026 / 11
LCM(60027,60038) = 327627366

Least Common Multiple (LCM) of 60027 and 60038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60027 and 60038. First we will calculate the prime factors of 60027 and 60038.

Prime Factorization of 60027

Prime Factorization of 60038

Now multiplying the highest exponent prime factors to calculate the LCM of 60027 and 60038.

LCM(60027,60038) = 3¹ × 11¹ × 17¹ × 107¹ × 2¹ × 2729¹
LCM(60027,60038) = 327627366