What is the Least Common Multiple of 49636 and 49641?
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 49636 and 49641 is 2463980676.
LCM(49636,49641) = 2463980676
Least Common Multiple of 49636 and 49641 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49636 and 49641, than apply into the LCM equation.
GCF(49636,49641) = 1
LCM(49636,49641) = ( 49636 × 49641) / 1
LCM(49636,49641) = 2463980676 / 1
LCM(49636,49641) = 2463980676
Least Common Multiple (LCM) of 49636 and 49641 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49636 and 49641. First we will calculate the prime factors of 49636 and 49641.
Prime Factorization of 49636
Prime factors of 49636 are 2, 12409. Prime factorization of 49636 in exponential form is:
49636 = 22 × 124091
Prime Factorization of 49641
Prime factors of 49641 are 3, 16547. Prime factorization of 49641 in exponential form is:
49641 = 31 × 165471
Now multiplying the highest exponent prime factors to calculate the LCM of 49636 and 49641.
LCM(49636,49641) = 22 × 124091 × 31 × 165471
LCM(49636,49641) = 2463980676
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