What is the Least Common Multiple of 91637 and 91645?
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 91637 and 91645 is 8398072865.
LCM(91637,91645) = 8398072865
Least Common Multiple of 91637 and 91645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91637 and 91645, than apply into the LCM equation.
GCF(91637,91645) = 1
LCM(91637,91645) = ( 91637 × 91645) / 1
LCM(91637,91645) = 8398072865 / 1
LCM(91637,91645) = 8398072865
Least Common Multiple (LCM) of 91637 and 91645 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91637 and 91645. First we will calculate the prime factors of 91637 and 91645.
Prime Factorization of 91637
Prime factors of 91637 are 7, 13, 19, 53. Prime factorization of 91637 in exponential form is:
91637 = 71 × 131 × 191 × 531
Prime Factorization of 91645
Prime factors of 91645 are 5, 18329. Prime factorization of 91645 in exponential form is:
91645 = 51 × 183291
Now multiplying the highest exponent prime factors to calculate the LCM of 91637 and 91645.
LCM(91637,91645) = 71 × 131 × 191 × 531 × 51 × 183291
LCM(91637,91645) = 8398072865
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