What is the Least Common Multiple of 59886 and 59899?
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 59886 and 59899 is 3587111514.
LCM(59886,59899) = 3587111514
Least Common Multiple of 59886 and 59899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59886 and 59899, than apply into the LCM equation.
GCF(59886,59899) = 1
LCM(59886,59899) = ( 59886 × 59899) / 1
LCM(59886,59899) = 3587111514 / 1
LCM(59886,59899) = 3587111514
Least Common Multiple (LCM) of 59886 and 59899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59886 and 59899. First we will calculate the prime factors of 59886 and 59899.
Prime Factorization of 59886
Prime factors of 59886 are 2, 3, 1109. Prime factorization of 59886 in exponential form is:
59886 = 21 × 33 × 11091
Prime Factorization of 59899
Prime factors of 59899 are 7, 43, 199. Prime factorization of 59899 in exponential form is:
59899 = 71 × 431 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 59886 and 59899.
LCM(59886,59899) = 21 × 33 × 11091 × 71 × 431 × 1991
LCM(59886,59899) = 3587111514
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