What is the Least Common Multiple of 55531 and 55541?
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 55531 and 55541 is 3084247271.
LCM(55531,55541) = 3084247271
Least Common Multiple of 55531 and 55541 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55531 and 55541, than apply into the LCM equation.
GCF(55531,55541) = 1
LCM(55531,55541) = ( 55531 × 55541) / 1
LCM(55531,55541) = 3084247271 / 1
LCM(55531,55541) = 3084247271
Least Common Multiple (LCM) of 55531 and 55541 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55531 and 55541. First we will calculate the prime factors of 55531 and 55541.
Prime Factorization of 55531
Prime factors of 55531 are 7, 7933. Prime factorization of 55531 in exponential form is:
55531 = 71 × 79331
Prime Factorization of 55541
Prime factors of 55541 are 55541. Prime factorization of 55541 in exponential form is:
55541 = 555411
Now multiplying the highest exponent prime factors to calculate the LCM of 55531 and 55541.
LCM(55531,55541) = 71 × 79331 × 555411
LCM(55531,55541) = 3084247271
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