What is the Least Common Multiple of 30499 and 30506?
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 30499 and 30506 is 132914642.
LCM(30499,30506) = 132914642
Least Common Multiple of 30499 and 30506 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30499 and 30506, than apply into the LCM equation.
GCF(30499,30506) = 7
LCM(30499,30506) = ( 30499 × 30506) / 7
LCM(30499,30506) = 930402494 / 7
LCM(30499,30506) = 132914642
Least Common Multiple (LCM) of 30499 and 30506 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30499 and 30506. First we will calculate the prime factors of 30499 and 30506.
Prime Factorization of 30499
Prime factors of 30499 are 7, 4357. Prime factorization of 30499 in exponential form is:
30499 = 71 × 43571
Prime Factorization of 30506
Prime factors of 30506 are 2, 7, 2179. Prime factorization of 30506 in exponential form is:
30506 = 21 × 71 × 21791
Now multiplying the highest exponent prime factors to calculate the LCM of 30499 and 30506.
LCM(30499,30506) = 71 × 43571 × 21 × 21791
LCM(30499,30506) = 132914642
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