What is the Least Common Multiple of 49581 and 49589?
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 49581 and 49589 is 2458672209.
LCM(49581,49589) = 2458672209
Least Common Multiple of 49581 and 49589 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49581 and 49589, than apply into the LCM equation.
GCF(49581,49589) = 1
LCM(49581,49589) = ( 49581 × 49589) / 1
LCM(49581,49589) = 2458672209 / 1
LCM(49581,49589) = 2458672209
Least Common Multiple (LCM) of 49581 and 49589 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49581 and 49589. First we will calculate the prime factors of 49581 and 49589.
Prime Factorization of 49581
Prime factors of 49581 are 3, 7, 787. Prime factorization of 49581 in exponential form is:
49581 = 32 × 71 × 7871
Prime Factorization of 49589
Prime factors of 49589 are 17, 2917. Prime factorization of 49589 in exponential form is:
49589 = 171 × 29171
Now multiplying the highest exponent prime factors to calculate the LCM of 49581 and 49589.
LCM(49581,49589) = 32 × 71 × 7871 × 171 × 29171
LCM(49581,49589) = 2458672209
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