What is the Least Common Multiple of 91531 and 91539?
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 91531 and 91539 is 8378656209.
LCM(91531,91539) = 8378656209
Least Common Multiple of 91531 and 91539 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91531 and 91539, than apply into the LCM equation.
GCF(91531,91539) = 1
LCM(91531,91539) = ( 91531 × 91539) / 1
LCM(91531,91539) = 8378656209 / 1
LCM(91531,91539) = 8378656209
Least Common Multiple (LCM) of 91531 and 91539 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91531 and 91539. First we will calculate the prime factors of 91531 and 91539.
Prime Factorization of 91531
Prime factors of 91531 are 11, 53, 157. Prime factorization of 91531 in exponential form is:
91531 = 111 × 531 × 1571
Prime Factorization of 91539
Prime factors of 91539 are 3, 7, 1453. Prime factorization of 91539 in exponential form is:
91539 = 32 × 71 × 14531
Now multiplying the highest exponent prime factors to calculate the LCM of 91531 and 91539.
LCM(91531,91539) = 111 × 531 × 1571 × 32 × 71 × 14531
LCM(91531,91539) = 8378656209
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