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What is the Least Common Multiple of 27600 and 27607?

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 27600 and 27607 is 761953200.

LCM(27600,27607) = 761953200

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Least Common Multiple of 27600 and 27607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27600 and 27607, than apply into the LCM equation.

GCF(27600,27607) = 1
LCM(27600,27607) = ( 27600 × 27607) / 1
LCM(27600,27607) = 761953200 / 1
LCM(27600,27607) = 761953200

Least Common Multiple (LCM) of 27600 and 27607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27600 and 27607. First we will calculate the prime factors of 27600 and 27607.

Prime Factorization of 27600

Prime factors of 27600 are 2, 3, 5, 23. Prime factorization of 27600 in exponential form is:

27600 = 24 × 31 × 52 × 231

Prime Factorization of 27607

Prime factors of 27607 are 19, 1453. Prime factorization of 27607 in exponential form is:

27607 = 191 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 27600 and 27607.

LCM(27600,27607) = 24 × 31 × 52 × 231 × 191 × 14531
LCM(27600,27607) = 761953200