What is the Least Common Multiple of 54491 and 54505?
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 54491 and 54505 is 2970031955.
LCM(54491,54505) = 2970031955
Least Common Multiple of 54491 and 54505 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54491 and 54505, than apply into the LCM equation.
GCF(54491,54505) = 1
LCM(54491,54505) = ( 54491 × 54505) / 1
LCM(54491,54505) = 2970031955 / 1
LCM(54491,54505) = 2970031955
Least Common Multiple (LCM) of 54491 and 54505 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54491 and 54505. First we will calculate the prime factors of 54491 and 54505.
Prime Factorization of 54491
Prime factors of 54491 are 29, 1879. Prime factorization of 54491 in exponential form is:
54491 = 291 × 18791
Prime Factorization of 54505
Prime factors of 54505 are 5, 11, 991. Prime factorization of 54505 in exponential form is:
54505 = 51 × 111 × 9911
Now multiplying the highest exponent prime factors to calculate the LCM of 54491 and 54505.
LCM(54491,54505) = 291 × 18791 × 51 × 111 × 9911
LCM(54491,54505) = 2970031955
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