What is the Least Common Multiple of 97227 and 97232?
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 97227 and 97232 is 9453575664.
LCM(97227,97232) = 9453575664
Least Common Multiple of 97227 and 97232 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97227 and 97232, than apply into the LCM equation.
GCF(97227,97232) = 1
LCM(97227,97232) = ( 97227 × 97232) / 1
LCM(97227,97232) = 9453575664 / 1
LCM(97227,97232) = 9453575664
Least Common Multiple (LCM) of 97227 and 97232 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97227 and 97232. First we will calculate the prime factors of 97227 and 97232.
Prime Factorization of 97227
Prime factors of 97227 are 3, 13, 277. Prime factorization of 97227 in exponential form is:
97227 = 33 × 131 × 2771
Prime Factorization of 97232
Prime factors of 97232 are 2, 59, 103. Prime factorization of 97232 in exponential form is:
97232 = 24 × 591 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 97227 and 97232.
LCM(97227,97232) = 33 × 131 × 2771 × 24 × 591 × 1031
LCM(97227,97232) = 9453575664
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