What is the Least Common Multiple of 62747 and 62758?
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 62747 and 62758 is 3937876226.
LCM(62747,62758) = 3937876226
Least Common Multiple of 62747 and 62758 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62747 and 62758, than apply into the LCM equation.
GCF(62747,62758) = 1
LCM(62747,62758) = ( 62747 × 62758) / 1
LCM(62747,62758) = 3937876226 / 1
LCM(62747,62758) = 3937876226
Least Common Multiple (LCM) of 62747 and 62758 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62747 and 62758. First we will calculate the prime factors of 62747 and 62758.
Prime Factorization of 62747
Prime factors of 62747 are 17, 3691. Prime factorization of 62747 in exponential form is:
62747 = 171 × 36911
Prime Factorization of 62758
Prime factors of 62758 are 2, 31379. Prime factorization of 62758 in exponential form is:
62758 = 21 × 313791
Now multiplying the highest exponent prime factors to calculate the LCM of 62747 and 62758.
LCM(62747,62758) = 171 × 36911 × 21 × 313791
LCM(62747,62758) = 3937876226
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