What is the Least Common Multiple of 45119 and 45137?
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 45119 and 45137 is 2036536303.
LCM(45119,45137) = 2036536303
Least Common Multiple of 45119 and 45137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45119 and 45137, than apply into the LCM equation.
GCF(45119,45137) = 1
LCM(45119,45137) = ( 45119 × 45137) / 1
LCM(45119,45137) = 2036536303 / 1
LCM(45119,45137) = 2036536303
Least Common Multiple (LCM) of 45119 and 45137 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45119 and 45137. First we will calculate the prime factors of 45119 and 45137.
Prime Factorization of 45119
Prime factors of 45119 are 45119. Prime factorization of 45119 in exponential form is:
45119 = 451191
Prime Factorization of 45137
Prime factors of 45137 are 45137. Prime factorization of 45137 in exponential form is:
45137 = 451371
Now multiplying the highest exponent prime factors to calculate the LCM of 45119 and 45137.
LCM(45119,45137) = 451191 × 451371
LCM(45119,45137) = 2036536303
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