What is the Least Common Multiple of 97601 and 97606?
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 97601 and 97606 is 9526443206.
LCM(97601,97606) = 9526443206
Least Common Multiple of 97601 and 97606 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97601 and 97606, than apply into the LCM equation.
GCF(97601,97606) = 1
LCM(97601,97606) = ( 97601 × 97606) / 1
LCM(97601,97606) = 9526443206 / 1
LCM(97601,97606) = 9526443206
Least Common Multiple (LCM) of 97601 and 97606 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97601 and 97606. First we will calculate the prime factors of 97601 and 97606.
Prime Factorization of 97601
Prime factors of 97601 are 7, 73, 191. Prime factorization of 97601 in exponential form is:
97601 = 71 × 731 × 1911
Prime Factorization of 97606
Prime factors of 97606 are 2, 37, 1319. Prime factorization of 97606 in exponential form is:
97606 = 21 × 371 × 13191
Now multiplying the highest exponent prime factors to calculate the LCM of 97601 and 97606.
LCM(97601,97606) = 71 × 731 × 1911 × 21 × 371 × 13191
LCM(97601,97606) = 9526443206
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