What is the Least Common Multiple of 63557 and 63562?
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 63557 and 63562 is 4039810034.
LCM(63557,63562) = 4039810034
Least Common Multiple of 63557 and 63562 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63557 and 63562, than apply into the LCM equation.
GCF(63557,63562) = 1
LCM(63557,63562) = ( 63557 × 63562) / 1
LCM(63557,63562) = 4039810034 / 1
LCM(63557,63562) = 4039810034
Least Common Multiple (LCM) of 63557 and 63562 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63557 and 63562. First we will calculate the prime factors of 63557 and 63562.
Prime Factorization of 63557
Prime factors of 63557 are 13, 4889. Prime factorization of 63557 in exponential form is:
63557 = 131 × 48891
Prime Factorization of 63562
Prime factors of 63562 are 2, 61, 521. Prime factorization of 63562 in exponential form is:
63562 = 21 × 611 × 5211
Now multiplying the highest exponent prime factors to calculate the LCM of 63557 and 63562.
LCM(63557,63562) = 131 × 48891 × 21 × 611 × 5211
LCM(63557,63562) = 4039810034
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