What is the Least Common Multiple of 54838 and 54842?
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 54838 and 54842 is 1503712798.
LCM(54838,54842) = 1503712798
Least Common Multiple of 54838 and 54842 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54838 and 54842, than apply into the LCM equation.
GCF(54838,54842) = 2
LCM(54838,54842) = ( 54838 × 54842) / 2
LCM(54838,54842) = 3007425596 / 2
LCM(54838,54842) = 1503712798
Least Common Multiple (LCM) of 54838 and 54842 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54838 and 54842. First we will calculate the prime factors of 54838 and 54842.
Prime Factorization of 54838
Prime factors of 54838 are 2, 7, 3917. Prime factorization of 54838 in exponential form is:
54838 = 21 × 71 × 39171
Prime Factorization of 54842
Prime factors of 54842 are 2, 17, 1613. Prime factorization of 54842 in exponential form is:
54842 = 21 × 171 × 16131
Now multiplying the highest exponent prime factors to calculate the LCM of 54838 and 54842.
LCM(54838,54842) = 21 × 71 × 39171 × 171 × 16131
LCM(54838,54842) = 1503712798
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