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What is the Least Common Multiple of 28618 and 28624?

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 28618 and 28624 is 409580816.

LCM(28618,28624) = 409580816

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Least Common Multiple of 28618 and 28624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28618 and 28624, than apply into the LCM equation.

GCF(28618,28624) = 2
LCM(28618,28624) = ( 28618 × 28624) / 2
LCM(28618,28624) = 819161632 / 2
LCM(28618,28624) = 409580816

Least Common Multiple (LCM) of 28618 and 28624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28618 and 28624. First we will calculate the prime factors of 28618 and 28624.

Prime Factorization of 28618

Prime factors of 28618 are 2, 41, 349. Prime factorization of 28618 in exponential form is:

28618 = 21 × 411 × 3491

Prime Factorization of 28624

Prime factors of 28624 are 2, 1789. Prime factorization of 28624 in exponential form is:

28624 = 24 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 28618 and 28624.

LCM(28618,28624) = 24 × 411 × 3491 × 17891
LCM(28618,28624) = 409580816