What is the Least Common Multiple of 62747 and 62751?
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 62751 is 3937436997.
LCM(62747,62751) = 3937436997
Least Common Multiple of 62747 and 62751 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 62751, than apply into the LCM equation.
GCF(62747,62751) = 1
LCM(62747,62751) = ( 62747 × 62751) / 1
LCM(62747,62751) = 3937436997 / 1
LCM(62747,62751) = 3937436997
Least Common Multiple (LCM) of 62747 and 62751 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62747 and 62751. First we will calculate the prime factors of 62747 and 62751.
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 62751
Prime factors of 62751 are 3, 13, 1609. Prime factorization of 62751 in exponential form is:
62751 = 31 × 131 × 16091
Now multiplying the highest exponent prime factors to calculate the LCM of 62747 and 62751.
LCM(62747,62751) = 171 × 36911 × 31 × 131 × 16091
LCM(62747,62751) = 3937436997
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