What is the Least Common Multiple of 48083 and 48091?
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 48083 and 48091 is 2312359553.
LCM(48083,48091) = 2312359553
Least Common Multiple of 48083 and 48091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48083 and 48091, than apply into the LCM equation.
GCF(48083,48091) = 1
LCM(48083,48091) = ( 48083 × 48091) / 1
LCM(48083,48091) = 2312359553 / 1
LCM(48083,48091) = 2312359553
Least Common Multiple (LCM) of 48083 and 48091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48083 and 48091. First we will calculate the prime factors of 48083 and 48091.
Prime Factorization of 48083
Prime factors of 48083 are 7, 6869. Prime factorization of 48083 in exponential form is:
48083 = 71 × 68691
Prime Factorization of 48091
Prime factors of 48091 are 48091. Prime factorization of 48091 in exponential form is:
48091 = 480911
Now multiplying the highest exponent prime factors to calculate the LCM of 48083 and 48091.
LCM(48083,48091) = 71 × 68691 × 480911
LCM(48083,48091) = 2312359553
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