What is the Least Common Multiple of 49834 and 49846?
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 49834 and 49846 is 1242012782.
LCM(49834,49846) = 1242012782
Least Common Multiple of 49834 and 49846 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49834 and 49846, than apply into the LCM equation.
GCF(49834,49846) = 2
LCM(49834,49846) = ( 49834 × 49846) / 2
LCM(49834,49846) = 2484025564 / 2
LCM(49834,49846) = 1242012782
Least Common Multiple (LCM) of 49834 and 49846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49834 and 49846. First we will calculate the prime factors of 49834 and 49846.
Prime Factorization of 49834
Prime factors of 49834 are 2, 24917. Prime factorization of 49834 in exponential form is:
49834 = 21 × 249171
Prime Factorization of 49846
Prime factors of 49846 are 2, 24923. Prime factorization of 49846 in exponential form is:
49846 = 21 × 249231
Now multiplying the highest exponent prime factors to calculate the LCM of 49834 and 49846.
LCM(49834,49846) = 21 × 249171 × 249231
LCM(49834,49846) = 1242012782
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