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What is the Least Common Multiple of 22607 and 22618?

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 22607 and 22618 is 511325126.

LCM(22607,22618) = 511325126

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Least Common Multiple of 22607 and 22618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22607 and 22618, than apply into the LCM equation.

GCF(22607,22618) = 1
LCM(22607,22618) = ( 22607 × 22618) / 1
LCM(22607,22618) = 511325126 / 1
LCM(22607,22618) = 511325126

Least Common Multiple (LCM) of 22607 and 22618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22607 and 22618. First we will calculate the prime factors of 22607 and 22618.

Prime Factorization of 22607

Prime factors of 22607 are 13, 37, 47. Prime factorization of 22607 in exponential form is:

22607 = 131 × 371 × 471

Prime Factorization of 22618

Prime factors of 22618 are 2, 43, 263. Prime factorization of 22618 in exponential form is:

22618 = 21 × 431 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 22607 and 22618.

LCM(22607,22618) = 131 × 371 × 471 × 21 × 431 × 2631
LCM(22607,22618) = 511325126