What is the Least Common Multiple of 97221 and 97227?
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 97221 and 97227 is 3150835389.
LCM(97221,97227) = 3150835389
Least Common Multiple of 97221 and 97227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97221 and 97227, than apply into the LCM equation.
GCF(97221,97227) = 3
LCM(97221,97227) = ( 97221 × 97227) / 3
LCM(97221,97227) = 9452506167 / 3
LCM(97221,97227) = 3150835389
Least Common Multiple (LCM) of 97221 and 97227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97221 and 97227. First we will calculate the prime factors of 97221 and 97227.
Prime Factorization of 97221
Prime factors of 97221 are 3, 23, 1409. Prime factorization of 97221 in exponential form is:
97221 = 31 × 231 × 14091
Prime Factorization of 97227
Prime factors of 97227 are 3, 13, 277. Prime factorization of 97227 in exponential form is:
97227 = 33 × 131 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 97221 and 97227.
LCM(97221,97227) = 33 × 231 × 14091 × 131 × 2771
LCM(97221,97227) = 3150835389
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Related Least Common Multiples of 97227
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