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What is the Least Common Multiple of 62227 and 62244?

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 62227 and 62244 is 3873257388.

LCM(62227,62244) = 3873257388

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Least Common Multiple of 62227 and 62244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62227 and 62244, than apply into the LCM equation.

GCF(62227,62244) = 1
LCM(62227,62244) = ( 62227 × 62244) / 1
LCM(62227,62244) = 3873257388 / 1
LCM(62227,62244) = 3873257388

Least Common Multiple (LCM) of 62227 and 62244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62227 and 62244. First we will calculate the prime factors of 62227 and 62244.

Prime Factorization of 62227

Prime factors of 62227 are 11, 5657. Prime factorization of 62227 in exponential form is:

62227 = 111 × 56571

Prime Factorization of 62244

Prime factors of 62244 are 2, 3, 7, 13, 19. Prime factorization of 62244 in exponential form is:

62244 = 22 × 32 × 71 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 62227 and 62244.

LCM(62227,62244) = 111 × 56571 × 22 × 32 × 71 × 131 × 191
LCM(62227,62244) = 3873257388