What is the Least Common Multiple of 97167 and 97180?
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 97167 and 97180 is 9442689060.
LCM(97167,97180) = 9442689060
Least Common Multiple of 97167 and 97180 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97167 and 97180, than apply into the LCM equation.
GCF(97167,97180) = 1
LCM(97167,97180) = ( 97167 × 97180) / 1
LCM(97167,97180) = 9442689060 / 1
LCM(97167,97180) = 9442689060
Least Common Multiple (LCM) of 97167 and 97180 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97167 and 97180. First we will calculate the prime factors of 97167 and 97180.
Prime Factorization of 97167
Prime factors of 97167 are 3, 7, 661. Prime factorization of 97167 in exponential form is:
97167 = 31 × 72 × 6611
Prime Factorization of 97180
Prime factors of 97180 are 2, 5, 43, 113. Prime factorization of 97180 in exponential form is:
97180 = 22 × 51 × 431 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 97167 and 97180.
LCM(97167,97180) = 31 × 72 × 6611 × 22 × 51 × 431 × 1131
LCM(97167,97180) = 9442689060
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