What is the Least Common Multiple of 3119 and 3127?
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 3119 and 3127 is 9753113.
LCM(3119,3127) = 9753113
Least Common Multiple of 3119 and 3127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3119 and 3127, than apply into the LCM equation.
GCF(3119,3127) = 1
LCM(3119,3127) = ( 3119 × 3127) / 1
LCM(3119,3127) = 9753113 / 1
LCM(3119,3127) = 9753113
Least Common Multiple (LCM) of 3119 and 3127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3119 and 3127. First we will calculate the prime factors of 3119 and 3127.
Prime Factorization of 3119
Prime factors of 3119 are 3119. Prime factorization of 3119 in exponential form is:
3119 = 31191
Prime Factorization of 3127
Prime factors of 3127 are 53, 59. Prime factorization of 3127 in exponential form is:
3127 = 531 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 3119 and 3127.
LCM(3119,3127) = 31191 × 531 × 591
LCM(3119,3127) = 9753113
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