What is the Least Common Multiple of 55060 and 55078?
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 55060 and 55078 is 1516297340.
LCM(55060,55078) = 1516297340
Least Common Multiple of 55060 and 55078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55060 and 55078, than apply into the LCM equation.
GCF(55060,55078) = 2
LCM(55060,55078) = ( 55060 × 55078) / 2
LCM(55060,55078) = 3032594680 / 2
LCM(55060,55078) = 1516297340
Least Common Multiple (LCM) of 55060 and 55078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55060 and 55078. First we will calculate the prime factors of 55060 and 55078.
Prime Factorization of 55060
Prime factors of 55060 are 2, 5, 2753. Prime factorization of 55060 in exponential form is:
55060 = 22 × 51 × 27531
Prime Factorization of 55078
Prime factors of 55078 are 2, 27539. Prime factorization of 55078 in exponential form is:
55078 = 21 × 275391
Now multiplying the highest exponent prime factors to calculate the LCM of 55060 and 55078.
LCM(55060,55078) = 22 × 51 × 27531 × 275391
LCM(55060,55078) = 1516297340
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