What is the Least Common Multiple of 97203 and 97222?
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 97203 and 97222 is 9450270066.
LCM(97203,97222) = 9450270066
Least Common Multiple of 97203 and 97222 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97203 and 97222, than apply into the LCM equation.
GCF(97203,97222) = 1
LCM(97203,97222) = ( 97203 × 97222) / 1
LCM(97203,97222) = 9450270066 / 1
LCM(97203,97222) = 9450270066
Least Common Multiple (LCM) of 97203 and 97222 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97203 and 97222. First we will calculate the prime factors of 97203 and 97222.
Prime Factorization of 97203
Prime factors of 97203 are 3, 32401. Prime factorization of 97203 in exponential form is:
97203 = 31 × 324011
Prime Factorization of 97222
Prime factors of 97222 are 2, 48611. Prime factorization of 97222 in exponential form is:
97222 = 21 × 486111
Now multiplying the highest exponent prime factors to calculate the LCM of 97203 and 97222.
LCM(97203,97222) = 31 × 324011 × 21 × 486111
LCM(97203,97222) = 9450270066
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