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What is the Least Common Multiple of 27792 and 27801?

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 27792 and 27801 is 85849488.

LCM(27792,27801) = 85849488

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Least Common Multiple of 27792 and 27801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27792 and 27801, than apply into the LCM equation.

GCF(27792,27801) = 9
LCM(27792,27801) = ( 27792 × 27801) / 9
LCM(27792,27801) = 772645392 / 9
LCM(27792,27801) = 85849488

Least Common Multiple (LCM) of 27792 and 27801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27792 and 27801. First we will calculate the prime factors of 27792 and 27801.

Prime Factorization of 27792

Prime factors of 27792 are 2, 3, 193. Prime factorization of 27792 in exponential form is:

27792 = 24 × 32 × 1931

Prime Factorization of 27801

Prime factors of 27801 are 3, 3089. Prime factorization of 27801 in exponential form is:

27801 = 32 × 30891

Now multiplying the highest exponent prime factors to calculate the LCM of 27792 and 27801.

LCM(27792,27801) = 24 × 32 × 1931 × 30891
LCM(27792,27801) = 85849488