What is the Least Common Multiple of 63797 and 63810?
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 63797 and 63810 is 4070886570.
LCM(63797,63810) = 4070886570
Least Common Multiple of 63797 and 63810 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63797 and 63810, than apply into the LCM equation.
GCF(63797,63810) = 1
LCM(63797,63810) = ( 63797 × 63810) / 1
LCM(63797,63810) = 4070886570 / 1
LCM(63797,63810) = 4070886570
Least Common Multiple (LCM) of 63797 and 63810 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63797 and 63810. First we will calculate the prime factors of 63797 and 63810.
Prime Factorization of 63797
Prime factors of 63797 are 131, 487. Prime factorization of 63797 in exponential form is:
63797 = 1311 × 4871
Prime Factorization of 63810
Prime factors of 63810 are 2, 3, 5, 709. Prime factorization of 63810 in exponential form is:
63810 = 21 × 32 × 51 × 7091
Now multiplying the highest exponent prime factors to calculate the LCM of 63797 and 63810.
LCM(63797,63810) = 1311 × 4871 × 21 × 32 × 51 × 7091
LCM(63797,63810) = 4070886570
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