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What is the Least Common Multiple of 53220 and 53233?

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 53220 and 53233 is 2833060260.

LCM(53220,53233) = 2833060260

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Least Common Multiple of 53220 and 53233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53220 and 53233, than apply into the LCM equation.

GCF(53220,53233) = 1
LCM(53220,53233) = ( 53220 × 53233) / 1
LCM(53220,53233) = 2833060260 / 1
LCM(53220,53233) = 2833060260

Least Common Multiple (LCM) of 53220 and 53233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53220 and 53233. First we will calculate the prime factors of 53220 and 53233.

Prime Factorization of 53220

Prime factors of 53220 are 2, 3, 5, 887. Prime factorization of 53220 in exponential form is:

53220 = 22 × 31 × 51 × 8871

Prime Factorization of 53233

Prime factors of 53233 are 53233. Prime factorization of 53233 in exponential form is:

53233 = 532331

Now multiplying the highest exponent prime factors to calculate the LCM of 53220 and 53233.

LCM(53220,53233) = 22 × 31 × 51 × 8871 × 532331
LCM(53220,53233) = 2833060260