What is the Least Common Multiple of 12150 and 12157?
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 12150 and 12157 is 147707550.
LCM(12150,12157) = 147707550
Least Common Multiple of 12150 and 12157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12150 and 12157, than apply into the LCM equation.
GCF(12150,12157) = 1
LCM(12150,12157) = ( 12150 × 12157) / 1
LCM(12150,12157) = 147707550 / 1
LCM(12150,12157) = 147707550
Least Common Multiple (LCM) of 12150 and 12157 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12150 and 12157. First we will calculate the prime factors of 12150 and 12157.
Prime Factorization of 12150
Prime factors of 12150 are 2, 3, 5. Prime factorization of 12150 in exponential form is:
12150 = 21 × 35 × 52
Prime Factorization of 12157
Prime factors of 12157 are 12157. Prime factorization of 12157 in exponential form is:
12157 = 121571
Now multiplying the highest exponent prime factors to calculate the LCM of 12150 and 12157.
LCM(12150,12157) = 21 × 35 × 52 × 121571
LCM(12150,12157) = 147707550
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