What is the Least Common Multiple of 49571 and 49577?
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 49571 and 49577 is 2457581467.
LCM(49571,49577) = 2457581467
Least Common Multiple of 49571 and 49577 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49571 and 49577, than apply into the LCM equation.
GCF(49571,49577) = 1
LCM(49571,49577) = ( 49571 × 49577) / 1
LCM(49571,49577) = 2457581467 / 1
LCM(49571,49577) = 2457581467
Least Common Multiple (LCM) of 49571 and 49577 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49571 and 49577. First we will calculate the prime factors of 49571 and 49577.
Prime Factorization of 49571
Prime factors of 49571 are 19, 2609. Prime factorization of 49571 in exponential form is:
49571 = 191 × 26091
Prime Factorization of 49577
Prime factors of 49577 are 11, 4507. Prime factorization of 49577 in exponential form is:
49577 = 111 × 45071
Now multiplying the highest exponent prime factors to calculate the LCM of 49571 and 49577.
LCM(49571,49577) = 191 × 26091 × 111 × 45071
LCM(49571,49577) = 2457581467
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