What is the Least Common Multiple of 54903 and 54921?
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 54903 and 54921 is 1005109221.
LCM(54903,54921) = 1005109221
Least Common Multiple of 54903 and 54921 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54903 and 54921, than apply into the LCM equation.
GCF(54903,54921) = 3
LCM(54903,54921) = ( 54903 × 54921) / 3
LCM(54903,54921) = 3015327663 / 3
LCM(54903,54921) = 1005109221
Least Common Multiple (LCM) of 54903 and 54921 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54903 and 54921. First we will calculate the prime factors of 54903 and 54921.
Prime Factorization of 54903
Prime factors of 54903 are 3, 18301. Prime factorization of 54903 in exponential form is:
54903 = 31 × 183011
Prime Factorization of 54921
Prime factors of 54921 are 3, 18307. Prime factorization of 54921 in exponential form is:
54921 = 31 × 183071
Now multiplying the highest exponent prime factors to calculate the LCM of 54903 and 54921.
LCM(54903,54921) = 31 × 183011 × 183071
LCM(54903,54921) = 1005109221
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