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What is the Least Common Multiple of 62417 and 62422?

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 62417 and 62422 is 3896193974.

LCM(62417,62422) = 3896193974

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Least Common Multiple of 62417 and 62422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62417 and 62422, than apply into the LCM equation.

GCF(62417,62422) = 1
LCM(62417,62422) = ( 62417 × 62422) / 1
LCM(62417,62422) = 3896193974 / 1
LCM(62417,62422) = 3896193974

Least Common Multiple (LCM) of 62417 and 62422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62417 and 62422. First we will calculate the prime factors of 62417 and 62422.

Prime Factorization of 62417

Prime factors of 62417 are 62417. Prime factorization of 62417 in exponential form is:

62417 = 624171

Prime Factorization of 62422

Prime factors of 62422 are 2, 23, 59. Prime factorization of 62422 in exponential form is:

62422 = 21 × 232 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 62417 and 62422.

LCM(62417,62422) = 624171 × 21 × 232 × 591
LCM(62417,62422) = 3896193974