What is the Least Common Multiple of 54834 and 54838?
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 54834 and 54838 is 1503493446.
LCM(54834,54838) = 1503493446
Least Common Multiple of 54834 and 54838 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54834 and 54838, than apply into the LCM equation.
GCF(54834,54838) = 2
LCM(54834,54838) = ( 54834 × 54838) / 2
LCM(54834,54838) = 3006986892 / 2
LCM(54834,54838) = 1503493446
Least Common Multiple (LCM) of 54834 and 54838 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54834 and 54838. First we will calculate the prime factors of 54834 and 54838.
Prime Factorization of 54834
Prime factors of 54834 are 2, 3, 13, 19, 37. Prime factorization of 54834 in exponential form is:
54834 = 21 × 31 × 131 × 191 × 371
Prime Factorization of 54838
Prime factors of 54838 are 2, 7, 3917. Prime factorization of 54838 in exponential form is:
54838 = 21 × 71 × 39171
Now multiplying the highest exponent prime factors to calculate the LCM of 54834 and 54838.
LCM(54834,54838) = 21 × 31 × 131 × 191 × 371 × 71 × 39171
LCM(54834,54838) = 1503493446
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