What is the Least Common Multiple of 62797 and 62810?
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 62797 and 62810 is 3944279570.
LCM(62797,62810) = 3944279570
Least Common Multiple of 62797 and 62810 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62797 and 62810, than apply into the LCM equation.
GCF(62797,62810) = 1
LCM(62797,62810) = ( 62797 × 62810) / 1
LCM(62797,62810) = 3944279570 / 1
LCM(62797,62810) = 3944279570
Least Common Multiple (LCM) of 62797 and 62810 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62797 and 62810. First we will calculate the prime factors of 62797 and 62810.
Prime Factorization of 62797
Prime factors of 62797 are 7, 8971. Prime factorization of 62797 in exponential form is:
62797 = 71 × 89711
Prime Factorization of 62810
Prime factors of 62810 are 2, 5, 11, 571. Prime factorization of 62810 in exponential form is:
62810 = 21 × 51 × 111 × 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 62797 and 62810.
LCM(62797,62810) = 71 × 89711 × 21 × 51 × 111 × 5711
LCM(62797,62810) = 3944279570
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