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What is the Least Common Multiple of 4618 and 4631?

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 (LCM) of 4618 and 4631 is 21385958.

LCM(4618,4631) = 21385958

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Least Common Multiple of 4618 and 4631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4618 and 4631, than apply into the LCM equation.

GCF(4618,4631) = 1
LCM(4618,4631) = ( 4618 × 4631) / 1
LCM(4618,4631) = 21385958 / 1
LCM(4618,4631) = 21385958

Least Common Multiple (LCM) of 4618 and 4631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4618 and 4631. First we will calculate the prime factors of 4618 and 4631.

Prime Factorization of 4618

Prime factors of 4618 are 2, 2309. Prime factorization of 4618 in exponential form is:

4618 = 21 × 23091

Prime Factorization of 4631

Prime factors of 4631 are 11, 421. Prime factorization of 4631 in exponential form is:

4631 = 111 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 4618 and 4631.

LCM(4618,4631) = 21 × 23091 × 111 × 4211
LCM(4618,4631) = 21385958