What is the Least Common Multiple of 54498 and 54515?
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 54498 and 54515 is 2970958470.
LCM(54498,54515) = 2970958470
Least Common Multiple of 54498 and 54515 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54498 and 54515, than apply into the LCM equation.
GCF(54498,54515) = 1
LCM(54498,54515) = ( 54498 × 54515) / 1
LCM(54498,54515) = 2970958470 / 1
LCM(54498,54515) = 2970958470
Least Common Multiple (LCM) of 54498 and 54515 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54498 and 54515. First we will calculate the prime factors of 54498 and 54515.
Prime Factorization of 54498
Prime factors of 54498 are 2, 3, 31, 293. Prime factorization of 54498 in exponential form is:
54498 = 21 × 31 × 311 × 2931
Prime Factorization of 54515
Prime factors of 54515 are 5, 10903. Prime factorization of 54515 in exponential form is:
54515 = 51 × 109031
Now multiplying the highest exponent prime factors to calculate the LCM of 54498 and 54515.
LCM(54498,54515) = 21 × 31 × 311 × 2931 × 51 × 109031
LCM(54498,54515) = 2970958470
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