What is the Least Common Multiple of 62422 and 62426?
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 62426 is 1948377886.
LCM(62422,62426) = 1948377886
Least Common Multiple of 62422 and 62426 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 62426, than apply into the LCM equation.
GCF(62422,62426) = 2
LCM(62422,62426) = ( 62422 × 62426) / 2
LCM(62422,62426) = 3896755772 / 2
LCM(62422,62426) = 1948377886
Least Common Multiple (LCM) of 62422 and 62426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62422 and 62426. First we will calculate the prime factors of 62422 and 62426.
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 62426
Prime factors of 62426 are 2, 7, 13. Prime factorization of 62426 in exponential form is:
62426 = 21 × 74 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 62422 and 62426.
LCM(62422,62426) = 21 × 232 × 591 × 74 × 131
LCM(62422,62426) = 1948377886
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