What is the Least Common Multiple of 30038 and 30053?

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 30038 and 30053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30038 and 30053, than apply into the LCM equation.

GCF(30038,30053) = 1
LCM(30038,30053) = ( 30038 × 30053) / 1
LCM(30038,30053) = 902732014 / 1
LCM(30038,30053) = 902732014

Least Common Multiple (LCM) of 30038 and 30053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30038 and 30053. First we will calculate the prime factors of 30038 and 30053.

Prime Factorization of 30038

Prime Factorization of 30053

Now multiplying the highest exponent prime factors to calculate the LCM of 30038 and 30053.

LCM(30038,30053) = 2¹ × 23¹ × 653¹ × 41¹ × 733¹
LCM(30038,30053) = 902732014