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What is the Least Common Multiple of 26618 and 26628?

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 26618 and 26628 is 354392052.

LCM(26618,26628) = 354392052

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Least Common Multiple of 26618 and 26628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26618 and 26628, than apply into the LCM equation.

GCF(26618,26628) = 2
LCM(26618,26628) = ( 26618 × 26628) / 2
LCM(26618,26628) = 708784104 / 2
LCM(26618,26628) = 354392052

Least Common Multiple (LCM) of 26618 and 26628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26618 and 26628. First we will calculate the prime factors of 26618 and 26628.

Prime Factorization of 26618

Prime factors of 26618 are 2, 13309. Prime factorization of 26618 in exponential form is:

26618 = 21 × 133091

Prime Factorization of 26628

Prime factors of 26628 are 2, 3, 7, 317. Prime factorization of 26628 in exponential form is:

26628 = 22 × 31 × 71 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 26618 and 26628.

LCM(26618,26628) = 22 × 133091 × 31 × 71 × 3171
LCM(26618,26628) = 354392052