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What is the Least Common Multiple of 52197 and 52203?

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 52197 and 52203 is 908279997.

LCM(52197,52203) = 908279997

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Least Common Multiple of 52197 and 52203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52197 and 52203, than apply into the LCM equation.

GCF(52197,52203) = 3
LCM(52197,52203) = ( 52197 × 52203) / 3
LCM(52197,52203) = 2724839991 / 3
LCM(52197,52203) = 908279997

Least Common Multiple (LCM) of 52197 and 52203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52197 and 52203. First we will calculate the prime factors of 52197 and 52203.

Prime Factorization of 52197

Prime factors of 52197 are 3, 127, 137. Prime factorization of 52197 in exponential form is:

52197 = 31 × 1271 × 1371

Prime Factorization of 52203

Prime factors of 52203 are 3, 17401. Prime factorization of 52203 in exponential form is:

52203 = 31 × 174011

Now multiplying the highest exponent prime factors to calculate the LCM of 52197 and 52203.

LCM(52197,52203) = 31 × 1271 × 1371 × 174011
LCM(52197,52203) = 908279997