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What is the Least Common Multiple of 27201 and 27213?

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 27201 and 27213 is 246740271.

LCM(27201,27213) = 246740271

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Least Common Multiple of 27201 and 27213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27201 and 27213, than apply into the LCM equation.

GCF(27201,27213) = 3
LCM(27201,27213) = ( 27201 × 27213) / 3
LCM(27201,27213) = 740220813 / 3
LCM(27201,27213) = 246740271

Least Common Multiple (LCM) of 27201 and 27213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27201 and 27213. First we will calculate the prime factors of 27201 and 27213.

Prime Factorization of 27201

Prime factors of 27201 are 3, 9067. Prime factorization of 27201 in exponential form is:

27201 = 31 × 90671

Prime Factorization of 27213

Prime factors of 27213 are 3, 47, 193. Prime factorization of 27213 in exponential form is:

27213 = 31 × 471 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 27201 and 27213.

LCM(27201,27213) = 31 × 90671 × 471 × 1931
LCM(27201,27213) = 246740271