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What is the Least Common Multiple of 52203 and 52218?

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 52203 and 52218 is 908645418.

LCM(52203,52218) = 908645418

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Least Common Multiple of 52203 and 52218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52203 and 52218, than apply into the LCM equation.

GCF(52203,52218) = 3
LCM(52203,52218) = ( 52203 × 52218) / 3
LCM(52203,52218) = 2725936254 / 3
LCM(52203,52218) = 908645418

Least Common Multiple (LCM) of 52203 and 52218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52203 and 52218. First we will calculate the prime factors of 52203 and 52218.

Prime Factorization of 52203

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

52203 = 31 × 174011

Prime Factorization of 52218

Prime factors of 52218 are 2, 3, 967. Prime factorization of 52218 in exponential form is:

52218 = 21 × 33 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 52203 and 52218.

LCM(52203,52218) = 33 × 174011 × 21 × 9671
LCM(52203,52218) = 908645418