What is the Least Common Multiple of 30618 and 30638?

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 30618 and 30638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30618 and 30638, than apply into the LCM equation.

GCF(30618,30638) = 2
LCM(30618,30638) = ( 30618 × 30638) / 2
LCM(30618,30638) = 938074284 / 2
LCM(30618,30638) = 469037142

Least Common Multiple (LCM) of 30618 and 30638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30618 and 30638. First we will calculate the prime factors of 30618 and 30638.

Prime Factorization of 30618

Prime Factorization of 30638

Now multiplying the highest exponent prime factors to calculate the LCM of 30618 and 30638.

LCM(30618,30638) = 2¹ × 3⁷ × 7¹ × 15319¹
LCM(30618,30638) = 469037142