What is the Least Common Multiple of 54807 and 54827?
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 54807 and 54827 is 3004903389.
LCM(54807,54827) = 3004903389
Least Common Multiple of 54807 and 54827 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54807 and 54827, than apply into the LCM equation.
GCF(54807,54827) = 1
LCM(54807,54827) = ( 54807 × 54827) / 1
LCM(54807,54827) = 3004903389 / 1
LCM(54807,54827) = 3004903389
Least Common Multiple (LCM) of 54807 and 54827 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54807 and 54827. First we will calculate the prime factors of 54807 and 54827.
Prime Factorization of 54807
Prime factors of 54807 are 3, 18269. Prime factorization of 54807 in exponential form is:
54807 = 31 × 182691
Prime Factorization of 54827
Prime factors of 54827 are 109, 503. Prime factorization of 54827 in exponential form is:
54827 = 1091 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 54807 and 54827.
LCM(54807,54827) = 31 × 182691 × 1091 × 5031
LCM(54807,54827) = 3004903389
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