What is the Least Common Multiple of 12197 and 12216?
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 12197 and 12216 is 148998552.
LCM(12197,12216) = 148998552
Least Common Multiple of 12197 and 12216 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12197 and 12216, than apply into the LCM equation.
GCF(12197,12216) = 1
LCM(12197,12216) = ( 12197 × 12216) / 1
LCM(12197,12216) = 148998552 / 1
LCM(12197,12216) = 148998552
Least Common Multiple (LCM) of 12197 and 12216 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12197 and 12216. First we will calculate the prime factors of 12197 and 12216.
Prime Factorization of 12197
Prime factors of 12197 are 12197. Prime factorization of 12197 in exponential form is:
12197 = 121971
Prime Factorization of 12216
Prime factors of 12216 are 2, 3, 509. Prime factorization of 12216 in exponential form is:
12216 = 23 × 31 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 12197 and 12216.
LCM(12197,12216) = 121971 × 23 × 31 × 5091
LCM(12197,12216) = 148998552
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