What is the Least Common Multiple of 30390 and 30400?

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 30390 and 30400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30390 and 30400, than apply into the LCM equation.

GCF(30390,30400) = 10
LCM(30390,30400) = ( 30390 × 30400) / 10
LCM(30390,30400) = 923856000 / 10
LCM(30390,30400) = 92385600

Least Common Multiple (LCM) of 30390 and 30400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30390 and 30400. First we will calculate the prime factors of 30390 and 30400.

Prime Factorization of 30390

Prime Factorization of 30400

Now multiplying the highest exponent prime factors to calculate the LCM of 30390 and 30400.

LCM(30390,30400) = 2⁶ × 3¹ × 5² × 1013¹ × 19¹
LCM(30390,30400) = 92385600