What is the Least Common Multiple of 55843 and 55852?
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 55843 and 55852 is 3118943236.
LCM(55843,55852) = 3118943236
Least Common Multiple of 55843 and 55852 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55843 and 55852, than apply into the LCM equation.
GCF(55843,55852) = 1
LCM(55843,55852) = ( 55843 × 55852) / 1
LCM(55843,55852) = 3118943236 / 1
LCM(55843,55852) = 3118943236
Least Common Multiple (LCM) of 55843 and 55852 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55843 and 55852. First we will calculate the prime factors of 55843 and 55852.
Prime Factorization of 55843
Prime factors of 55843 are 55843. Prime factorization of 55843 in exponential form is:
55843 = 558431
Prime Factorization of 55852
Prime factors of 55852 are 2, 13963. Prime factorization of 55852 in exponential form is:
55852 = 22 × 139631
Now multiplying the highest exponent prime factors to calculate the LCM of 55843 and 55852.
LCM(55843,55852) = 558431 × 22 × 139631
LCM(55843,55852) = 3118943236
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