What is the Least Common Multiple of 62422 and 62442?
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 62422 and 62442 is 1948877262.
LCM(62422,62442) = 1948877262
Least Common Multiple of 62422 and 62442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62422 and 62442, than apply into the LCM equation.
GCF(62422,62442) = 2
LCM(62422,62442) = ( 62422 × 62442) / 2
LCM(62422,62442) = 3897754524 / 2
LCM(62422,62442) = 1948877262
Least Common Multiple (LCM) of 62422 and 62442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62422 and 62442. First we will calculate the prime factors of 62422 and 62442.
Prime Factorization of 62422
Prime factors of 62422 are 2, 23, 59. Prime factorization of 62422 in exponential form is:
62422 = 21 × 232 × 591
Prime Factorization of 62442
Prime factors of 62442 are 2, 3, 3469. Prime factorization of 62442 in exponential form is:
62442 = 21 × 32 × 34691
Now multiplying the highest exponent prime factors to calculate the LCM of 62422 and 62442.
LCM(62422,62442) = 21 × 232 × 591 × 32 × 34691
LCM(62422,62442) = 1948877262
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