What is the Least Common Multiple of 97191 and 97211?
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 97191 and 97211 is 9448034301.
LCM(97191,97211) = 9448034301
Least Common Multiple of 97191 and 97211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97191 and 97211, than apply into the LCM equation.
GCF(97191,97211) = 1
LCM(97191,97211) = ( 97191 × 97211) / 1
LCM(97191,97211) = 9448034301 / 1
LCM(97191,97211) = 9448034301
Least Common Multiple (LCM) of 97191 and 97211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97191 and 97211. First we will calculate the prime factors of 97191 and 97211.
Prime Factorization of 97191
Prime factors of 97191 are 3, 10799. Prime factorization of 97191 in exponential form is:
97191 = 32 × 107991
Prime Factorization of 97211
Prime factors of 97211 are 41, 2371. Prime factorization of 97211 in exponential form is:
97211 = 411 × 23711
Now multiplying the highest exponent prime factors to calculate the LCM of 97191 and 97211.
LCM(97191,97211) = 32 × 107991 × 411 × 23711
LCM(97191,97211) = 9448034301
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