What is the Least Common Multiple of 55690 and 55697?
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 55690 and 55697 is 3101765930.
LCM(55690,55697) = 3101765930
Least Common Multiple of 55690 and 55697 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55690 and 55697, than apply into the LCM equation.
GCF(55690,55697) = 1
LCM(55690,55697) = ( 55690 × 55697) / 1
LCM(55690,55697) = 3101765930 / 1
LCM(55690,55697) = 3101765930
Least Common Multiple (LCM) of 55690 and 55697 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55690 and 55697. First we will calculate the prime factors of 55690 and 55697.
Prime Factorization of 55690
Prime factors of 55690 are 2, 5, 5569. Prime factorization of 55690 in exponential form is:
55690 = 21 × 51 × 55691
Prime Factorization of 55697
Prime factors of 55697 are 55697. Prime factorization of 55697 in exponential form is:
55697 = 556971
Now multiplying the highest exponent prime factors to calculate the LCM of 55690 and 55697.
LCM(55690,55697) = 21 × 51 × 55691 × 556971
LCM(55690,55697) = 3101765930
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