What is the Least Common Multiple of 55127 and 55145?
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 55127 and 55145 is 3039978415.
LCM(55127,55145) = 3039978415
Least Common Multiple of 55127 and 55145 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55127 and 55145, than apply into the LCM equation.
GCF(55127,55145) = 1
LCM(55127,55145) = ( 55127 × 55145) / 1
LCM(55127,55145) = 3039978415 / 1
LCM(55127,55145) = 3039978415
Least Common Multiple (LCM) of 55127 and 55145 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55127 and 55145. First we will calculate the prime factors of 55127 and 55145.
Prime Factorization of 55127
Prime factors of 55127 are 55127. Prime factorization of 55127 in exponential form is:
55127 = 551271
Prime Factorization of 55145
Prime factors of 55145 are 5, 41, 269. Prime factorization of 55145 in exponential form is:
55145 = 51 × 411 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 55127 and 55145.
LCM(55127,55145) = 551271 × 51 × 411 × 2691
LCM(55127,55145) = 3039978415
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