What is the Least Common Multiple of 97606 and 97626?
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 97606 and 97626 is 4764441678.
LCM(97606,97626) = 4764441678
Least Common Multiple of 97606 and 97626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97606 and 97626, than apply into the LCM equation.
GCF(97606,97626) = 2
LCM(97606,97626) = ( 97606 × 97626) / 2
LCM(97606,97626) = 9528883356 / 2
LCM(97606,97626) = 4764441678
Least Common Multiple (LCM) of 97606 and 97626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97606 and 97626. First we will calculate the prime factors of 97606 and 97626.
Prime Factorization of 97606
Prime factors of 97606 are 2, 37, 1319. Prime factorization of 97606 in exponential form is:
97606 = 21 × 371 × 13191
Prime Factorization of 97626
Prime factors of 97626 are 2, 3, 53, 307. Prime factorization of 97626 in exponential form is:
97626 = 21 × 31 × 531 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 97606 and 97626.
LCM(97606,97626) = 21 × 371 × 13191 × 31 × 531 × 3071
LCM(97606,97626) = 4764441678
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