What is the Least Common Multiple of 49709 and 49716?
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 49709 and 49716 is 2471332644.
LCM(49709,49716) = 2471332644
Least Common Multiple of 49709 and 49716 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49709 and 49716, than apply into the LCM equation.
GCF(49709,49716) = 1
LCM(49709,49716) = ( 49709 × 49716) / 1
LCM(49709,49716) = 2471332644 / 1
LCM(49709,49716) = 2471332644
Least Common Multiple (LCM) of 49709 and 49716 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49709 and 49716. First we will calculate the prime factors of 49709 and 49716.
Prime Factorization of 49709
Prime factors of 49709 are 11, 4519. Prime factorization of 49709 in exponential form is:
49709 = 111 × 45191
Prime Factorization of 49716
Prime factors of 49716 are 2, 3, 1381. Prime factorization of 49716 in exponential form is:
49716 = 22 × 32 × 13811
Now multiplying the highest exponent prime factors to calculate the LCM of 49709 and 49716.
LCM(49709,49716) = 111 × 45191 × 22 × 32 × 13811
LCM(49709,49716) = 2471332644
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