What is the Least Common Multiple of 55017 and 55035?
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 55017 and 55035 is 336428955.
LCM(55017,55035) = 336428955
Least Common Multiple of 55017 and 55035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55017 and 55035, than apply into the LCM equation.
GCF(55017,55035) = 9
LCM(55017,55035) = ( 55017 × 55035) / 9
LCM(55017,55035) = 3027860595 / 9
LCM(55017,55035) = 336428955
Least Common Multiple (LCM) of 55017 and 55035 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55017 and 55035. First we will calculate the prime factors of 55017 and 55035.
Prime Factorization of 55017
Prime factors of 55017 are 3, 6113. Prime factorization of 55017 in exponential form is:
55017 = 32 × 61131
Prime Factorization of 55035
Prime factors of 55035 are 3, 5, 1223. Prime factorization of 55035 in exponential form is:
55035 = 32 × 51 × 12231
Now multiplying the highest exponent prime factors to calculate the LCM of 55017 and 55035.
LCM(55017,55035) = 32 × 61131 × 51 × 12231
LCM(55017,55035) = 336428955
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