What is the Least Common Multiple of 48127 and 48137?
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 48127 and 48137 is 2316689399.
LCM(48127,48137) = 2316689399
Least Common Multiple of 48127 and 48137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48127 and 48137, than apply into the LCM equation.
GCF(48127,48137) = 1
LCM(48127,48137) = ( 48127 × 48137) / 1
LCM(48127,48137) = 2316689399 / 1
LCM(48127,48137) = 2316689399
Least Common Multiple (LCM) of 48127 and 48137 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48127 and 48137. First we will calculate the prime factors of 48127 and 48137.
Prime Factorization of 48127
Prime factors of 48127 are 17, 19, 149. Prime factorization of 48127 in exponential form is:
48127 = 171 × 191 × 1491
Prime Factorization of 48137
Prime factors of 48137 are 37, 1301. Prime factorization of 48137 in exponential form is:
48137 = 371 × 13011
Now multiplying the highest exponent prime factors to calculate the LCM of 48127 and 48137.
LCM(48127,48137) = 171 × 191 × 1491 × 371 × 13011
LCM(48127,48137) = 2316689399
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