What is the Least Common Multiple of 63022 and 63026?
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 63022 and 63026 is 1986012286.
LCM(63022,63026) = 1986012286
Least Common Multiple of 63022 and 63026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63022 and 63026, than apply into the LCM equation.
GCF(63022,63026) = 2
LCM(63022,63026) = ( 63022 × 63026) / 2
LCM(63022,63026) = 3972024572 / 2
LCM(63022,63026) = 1986012286
Least Common Multiple (LCM) of 63022 and 63026 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63022 and 63026. First we will calculate the prime factors of 63022 and 63026.
Prime Factorization of 63022
Prime factors of 63022 are 2, 31511. Prime factorization of 63022 in exponential form is:
63022 = 21 × 315111
Prime Factorization of 63026
Prime factors of 63026 are 2, 31513. Prime factorization of 63026 in exponential form is:
63026 = 21 × 315131
Now multiplying the highest exponent prime factors to calculate the LCM of 63022 and 63026.
LCM(63022,63026) = 21 × 315111 × 315131
LCM(63022,63026) = 1986012286
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