What is the Least Common Multiple of 59863 and 59867?
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 59863 and 59867 is 3583818221.
LCM(59863,59867) = 3583818221
Least Common Multiple of 59863 and 59867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59863 and 59867, than apply into the LCM equation.
GCF(59863,59867) = 1
LCM(59863,59867) = ( 59863 × 59867) / 1
LCM(59863,59867) = 3583818221 / 1
LCM(59863,59867) = 3583818221
Least Common Multiple (LCM) of 59863 and 59867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59863 and 59867. First we will calculate the prime factors of 59863 and 59867.
Prime Factorization of 59863
Prime factors of 59863 are 59863. Prime factorization of 59863 in exponential form is:
59863 = 598631
Prime Factorization of 59867
Prime factors of 59867 are 131, 457. Prime factorization of 59867 in exponential form is:
59867 = 1311 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 59863 and 59867.
LCM(59863,59867) = 598631 × 1311 × 4571
LCM(59863,59867) = 3583818221
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