What is the Least Common Multiple of 91622 and 91637?
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 91622 and 91637 is 8395965214.
LCM(91622,91637) = 8395965214
Least Common Multiple of 91622 and 91637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91622 and 91637, than apply into the LCM equation.
GCF(91622,91637) = 1
LCM(91622,91637) = ( 91622 × 91637) / 1
LCM(91622,91637) = 8395965214 / 1
LCM(91622,91637) = 8395965214
Least Common Multiple (LCM) of 91622 and 91637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91622 and 91637. First we will calculate the prime factors of 91622 and 91637.
Prime Factorization of 91622
Prime factors of 91622 are 2, 61, 751. Prime factorization of 91622 in exponential form is:
91622 = 21 × 611 × 7511
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
Now multiplying the highest exponent prime factors to calculate the LCM of 91622 and 91637.
LCM(91622,91637) = 21 × 611 × 7511 × 71 × 131 × 191 × 531
LCM(91622,91637) = 8395965214
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