What is the Least Common Multiple of 127 and 139?
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 127 and 139 is 17653.
LCM(127,139) = 17653
Least Common Multiple of 127 and 139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 127 and 139, than apply into the LCM equation.
GCF(127,139) = 1
LCM(127,139) = ( 127 × 139) / 1
LCM(127,139) = 17653 / 1
LCM(127,139) = 17653
Least Common Multiple (LCM) of 127 and 139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 127 and 139. First we will calculate the prime factors of 127 and 139.
Prime Factorization of 127
Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:
127 = 1271
Prime Factorization of 139
Prime factors of 139 are 139. Prime factorization of 139 in exponential form is:
139 = 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 127 and 139.
LCM(127,139) = 1271 × 1391
LCM(127,139) = 17653
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