What is the Least Common Multiple of 55724 and 55739?
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 55724 and 55739 is 3106000036.
LCM(55724,55739) = 3106000036
Least Common Multiple of 55724 and 55739 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55724 and 55739, than apply into the LCM equation.
GCF(55724,55739) = 1
LCM(55724,55739) = ( 55724 × 55739) / 1
LCM(55724,55739) = 3106000036 / 1
LCM(55724,55739) = 3106000036
Least Common Multiple (LCM) of 55724 and 55739 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55724 and 55739. First we will calculate the prime factors of 55724 and 55739.
Prime Factorization of 55724
Prime factors of 55724 are 2, 13931. Prime factorization of 55724 in exponential form is:
55724 = 22 × 139311
Prime Factorization of 55739
Prime factors of 55739 are 139, 401. Prime factorization of 55739 in exponential form is:
55739 = 1391 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 55724 and 55739.
LCM(55724,55739) = 22 × 139311 × 1391 × 4011
LCM(55724,55739) = 3106000036
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