What is the Least Common Multiple of 30408 and 30427?

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 30408 and 30427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30408 and 30427, than apply into the LCM equation.

GCF(30408,30427) = 1
LCM(30408,30427) = ( 30408 × 30427) / 1
LCM(30408,30427) = 925224216 / 1
LCM(30408,30427) = 925224216

Least Common Multiple (LCM) of 30408 and 30427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30408 and 30427. First we will calculate the prime factors of 30408 and 30427.

Prime Factorization of 30408

Prime Factorization of 30427

Now multiplying the highest exponent prime factors to calculate the LCM of 30408 and 30427.

LCM(30408,30427) = 2³ × 3¹ × 7¹ × 181¹ × 30427¹
LCM(30408,30427) = 925224216