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What is the Least Common Multiple of 59221 and 59240?

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 59221 and 59240 is 3508252040.

LCM(59221,59240) = 3508252040

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Least Common Multiple of 59221 and 59240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59221 and 59240, than apply into the LCM equation.

GCF(59221,59240) = 1
LCM(59221,59240) = ( 59221 × 59240) / 1
LCM(59221,59240) = 3508252040 / 1
LCM(59221,59240) = 3508252040

Least Common Multiple (LCM) of 59221 and 59240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59221 and 59240. First we will calculate the prime factors of 59221 and 59240.

Prime Factorization of 59221

Prime factors of 59221 are 59221. Prime factorization of 59221 in exponential form is:

59221 = 592211

Prime Factorization of 59240

Prime factors of 59240 are 2, 5, 1481. Prime factorization of 59240 in exponential form is:

59240 = 23 × 51 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 59221 and 59240.

LCM(59221,59240) = 592211 × 23 × 51 × 14811
LCM(59221,59240) = 3508252040