What is the Least Common Multiple of 49891 and 49907?
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 49891 and 49907 is 2489910137.
LCM(49891,49907) = 2489910137
Least Common Multiple of 49891 and 49907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49891 and 49907, than apply into the LCM equation.
GCF(49891,49907) = 1
LCM(49891,49907) = ( 49891 × 49907) / 1
LCM(49891,49907) = 2489910137 / 1
LCM(49891,49907) = 2489910137
Least Common Multiple (LCM) of 49891 and 49907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49891 and 49907. First we will calculate the prime factors of 49891 and 49907.
Prime Factorization of 49891
Prime factors of 49891 are 49891. Prime factorization of 49891 in exponential form is:
49891 = 498911
Prime Factorization of 49907
Prime factors of 49907 are 11, 13, 349. Prime factorization of 49907 in exponential form is:
49907 = 111 × 131 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 49891 and 49907.
LCM(49891,49907) = 498911 × 111 × 131 × 3491
LCM(49891,49907) = 2489910137
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