What is the Least Common Multiple of 55605 and 55625?
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 55605 and 55625 is 618605625.
LCM(55605,55625) = 618605625
Least Common Multiple of 55605 and 55625 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55605 and 55625, than apply into the LCM equation.
GCF(55605,55625) = 5
LCM(55605,55625) = ( 55605 × 55625) / 5
LCM(55605,55625) = 3093028125 / 5
LCM(55605,55625) = 618605625
Least Common Multiple (LCM) of 55605 and 55625 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55605 and 55625. First we will calculate the prime factors of 55605 and 55625.
Prime Factorization of 55605
Prime factors of 55605 are 3, 5, 11, 337. Prime factorization of 55605 in exponential form is:
55605 = 31 × 51 × 111 × 3371
Prime Factorization of 55625
Prime factors of 55625 are 5, 89. Prime factorization of 55625 in exponential form is:
55625 = 54 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 55605 and 55625.
LCM(55605,55625) = 31 × 54 × 111 × 3371 × 891
LCM(55605,55625) = 618605625
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