What is the Least Common Multiple of 54258 and 54277?
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 54258 and 54277 is 2944961466.
LCM(54258,54277) = 2944961466
Least Common Multiple of 54258 and 54277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54258 and 54277, than apply into the LCM equation.
GCF(54258,54277) = 1
LCM(54258,54277) = ( 54258 × 54277) / 1
LCM(54258,54277) = 2944961466 / 1
LCM(54258,54277) = 2944961466
Least Common Multiple (LCM) of 54258 and 54277 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54258 and 54277. First we will calculate the prime factors of 54258 and 54277.
Prime Factorization of 54258
Prime factors of 54258 are 2, 3, 9043. Prime factorization of 54258 in exponential form is:
54258 = 21 × 31 × 90431
Prime Factorization of 54277
Prime factors of 54277 are 54277. Prime factorization of 54277 in exponential form is:
54277 = 542771
Now multiplying the highest exponent prime factors to calculate the LCM of 54258 and 54277.
LCM(54258,54277) = 21 × 31 × 90431 × 542771
LCM(54258,54277) = 2944961466
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