What is the Least Common Multiple of 49086 and 49103?
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 49086 and 49103 is 2410269858.
LCM(49086,49103) = 2410269858
Least Common Multiple of 49086 and 49103 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49086 and 49103, than apply into the LCM equation.
GCF(49086,49103) = 1
LCM(49086,49103) = ( 49086 × 49103) / 1
LCM(49086,49103) = 2410269858 / 1
LCM(49086,49103) = 2410269858
Least Common Multiple (LCM) of 49086 and 49103 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49086 and 49103. First we will calculate the prime factors of 49086 and 49103.
Prime Factorization of 49086
Prime factors of 49086 are 2, 3, 101. Prime factorization of 49086 in exponential form is:
49086 = 21 × 35 × 1011
Prime Factorization of 49103
Prime factors of 49103 are 49103. Prime factorization of 49103 in exponential form is:
49103 = 491031
Now multiplying the highest exponent prime factors to calculate the LCM of 49086 and 49103.
LCM(49086,49103) = 21 × 35 × 1011 × 491031
LCM(49086,49103) = 2410269858
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