What is the Least Common Multiple of 30127 and 30138?
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 30127 and 30138 is 907967526.
LCM(30127,30138) = 907967526
Least Common Multiple of 30127 and 30138 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30127 and 30138, than apply into the LCM equation.
GCF(30127,30138) = 1
LCM(30127,30138) = ( 30127 × 30138) / 1
LCM(30127,30138) = 907967526 / 1
LCM(30127,30138) = 907967526
Least Common Multiple (LCM) of 30127 and 30138 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30127 and 30138. First we will calculate the prime factors of 30127 and 30138.
Prime Factorization of 30127
Prime factors of 30127 are 47, 641. Prime factorization of 30127 in exponential form is:
30127 = 471 × 6411
Prime Factorization of 30138
Prime factors of 30138 are 2, 3, 5023. Prime factorization of 30138 in exponential form is:
30138 = 21 × 31 × 50231
Now multiplying the highest exponent prime factors to calculate the LCM of 30127 and 30138.
LCM(30127,30138) = 471 × 6411 × 21 × 31 × 50231
LCM(30127,30138) = 907967526
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