What is the Least Common Multiple of 62786 and 62797?
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 62786 and 62797 is 3942772442.
LCM(62786,62797) = 3942772442
Least Common Multiple of 62786 and 62797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62786 and 62797, than apply into the LCM equation.
GCF(62786,62797) = 1
LCM(62786,62797) = ( 62786 × 62797) / 1
LCM(62786,62797) = 3942772442 / 1
LCM(62786,62797) = 3942772442
Least Common Multiple (LCM) of 62786 and 62797 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62786 and 62797. First we will calculate the prime factors of 62786 and 62797.
Prime Factorization of 62786
Prime factors of 62786 are 2, 31393. Prime factorization of 62786 in exponential form is:
62786 = 21 × 313931
Prime Factorization of 62797
Prime factors of 62797 are 7, 8971. Prime factorization of 62797 in exponential form is:
62797 = 71 × 89711
Now multiplying the highest exponent prime factors to calculate the LCM of 62786 and 62797.
LCM(62786,62797) = 21 × 313931 × 71 × 89711
LCM(62786,62797) = 3942772442
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