What is the Least Common Multiple of 62017 and 62026?
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 62017 and 62026 is 3846666442.
LCM(62017,62026) = 3846666442
Least Common Multiple of 62017 and 62026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62017 and 62026, than apply into the LCM equation.
GCF(62017,62026) = 1
LCM(62017,62026) = ( 62017 × 62026) / 1
LCM(62017,62026) = 3846666442 / 1
LCM(62017,62026) = 3846666442
Least Common Multiple (LCM) of 62017 and 62026 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62017 and 62026. First we will calculate the prime factors of 62017 and 62026.
Prime Factorization of 62017
Prime factors of 62017 are 62017. Prime factorization of 62017 in exponential form is:
62017 = 620171
Prime Factorization of 62026
Prime factors of 62026 are 2, 31013. Prime factorization of 62026 in exponential form is:
62026 = 21 × 310131
Now multiplying the highest exponent prime factors to calculate the LCM of 62017 and 62026.
LCM(62017,62026) = 620171 × 21 × 310131
LCM(62017,62026) = 3846666442
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