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What is the Least Common Multiple of 27197 and 27202?

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 27197 and 27202 is 739812794.

LCM(27197,27202) = 739812794

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Least Common Multiple of 27197 and 27202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27197 and 27202, than apply into the LCM equation.

GCF(27197,27202) = 1
LCM(27197,27202) = ( 27197 × 27202) / 1
LCM(27197,27202) = 739812794 / 1
LCM(27197,27202) = 739812794

Least Common Multiple (LCM) of 27197 and 27202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27197 and 27202. First we will calculate the prime factors of 27197 and 27202.

Prime Factorization of 27197

Prime factors of 27197 are 27197. Prime factorization of 27197 in exponential form is:

27197 = 271971

Prime Factorization of 27202

Prime factors of 27202 are 2, 7, 29, 67. Prime factorization of 27202 in exponential form is:

27202 = 21 × 71 × 291 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 27197 and 27202.

LCM(27197,27202) = 271971 × 21 × 71 × 291 × 671
LCM(27197,27202) = 739812794