What is the Least Common Multiple of 55922 and 55927?
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 55922 and 55927 is 3127549694.
LCM(55922,55927) = 3127549694
Least Common Multiple of 55922 and 55927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55922 and 55927, than apply into the LCM equation.
GCF(55922,55927) = 1
LCM(55922,55927) = ( 55922 × 55927) / 1
LCM(55922,55927) = 3127549694 / 1
LCM(55922,55927) = 3127549694
Least Common Multiple (LCM) of 55922 and 55927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55922 and 55927. First we will calculate the prime factors of 55922 and 55927.
Prime Factorization of 55922
Prime factors of 55922 are 2, 27961. Prime factorization of 55922 in exponential form is:
55922 = 21 × 279611
Prime Factorization of 55927
Prime factors of 55927 are 55927. Prime factorization of 55927 in exponential form is:
55927 = 559271
Now multiplying the highest exponent prime factors to calculate the LCM of 55922 and 55927.
LCM(55922,55927) = 21 × 279611 × 559271
LCM(55922,55927) = 3127549694
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