What is the Least Common Multiple of 59858 and 59863?
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 59858 and 59863 is 3583279454.
LCM(59858,59863) = 3583279454
Least Common Multiple of 59858 and 59863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59858 and 59863, than apply into the LCM equation.
GCF(59858,59863) = 1
LCM(59858,59863) = ( 59858 × 59863) / 1
LCM(59858,59863) = 3583279454 / 1
LCM(59858,59863) = 3583279454
Least Common Multiple (LCM) of 59858 and 59863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59858 and 59863. First we will calculate the prime factors of 59858 and 59863.
Prime Factorization of 59858
Prime factors of 59858 are 2, 173. Prime factorization of 59858 in exponential form is:
59858 = 21 × 1732
Prime Factorization of 59863
Prime factors of 59863 are 59863. Prime factorization of 59863 in exponential form is:
59863 = 598631
Now multiplying the highest exponent prime factors to calculate the LCM of 59858 and 59863.
LCM(59858,59863) = 21 × 1732 × 598631
LCM(59858,59863) = 3583279454
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