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What is the Least Common Multiple of 53229 and 53237?

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 53229 and 53237 is 2833752273.

LCM(53229,53237) = 2833752273

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Least Common Multiple of 53229 and 53237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53229 and 53237, than apply into the LCM equation.

GCF(53229,53237) = 1
LCM(53229,53237) = ( 53229 × 53237) / 1
LCM(53229,53237) = 2833752273 / 1
LCM(53229,53237) = 2833752273

Least Common Multiple (LCM) of 53229 and 53237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53229 and 53237. First we will calculate the prime factors of 53229 and 53237.

Prime Factorization of 53229

Prime factors of 53229 are 3, 11, 1613. Prime factorization of 53229 in exponential form is:

53229 = 31 × 111 × 16131

Prime Factorization of 53237

Prime factors of 53237 are 139, 383. Prime factorization of 53237 in exponential form is:

53237 = 1391 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 53229 and 53237.

LCM(53229,53237) = 31 × 111 × 16131 × 1391 × 3831
LCM(53229,53237) = 2833752273