What is the Least Common Multiple of 55859 and 55873?
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 55859 and 55873 is 3121009907.
LCM(55859,55873) = 3121009907
Least Common Multiple of 55859 and 55873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55859 and 55873, than apply into the LCM equation.
GCF(55859,55873) = 1
LCM(55859,55873) = ( 55859 × 55873) / 1
LCM(55859,55873) = 3121009907 / 1
LCM(55859,55873) = 3121009907
Least Common Multiple (LCM) of 55859 and 55873 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55859 and 55873. First we will calculate the prime factors of 55859 and 55873.
Prime Factorization of 55859
Prime factors of 55859 are 83, 673. Prime factorization of 55859 in exponential form is:
55859 = 831 × 6731
Prime Factorization of 55873
Prime factors of 55873 are 59, 947. Prime factorization of 55873 in exponential form is:
55873 = 591 × 9471
Now multiplying the highest exponent prime factors to calculate the LCM of 55859 and 55873.
LCM(55859,55873) = 831 × 6731 × 591 × 9471
LCM(55859,55873) = 3121009907
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