What is the Least Common Multiple of 91537 and 91546?
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 91537 and 91546 is 8379846202.
LCM(91537,91546) = 8379846202
Least Common Multiple of 91537 and 91546 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91537 and 91546, than apply into the LCM equation.
GCF(91537,91546) = 1
LCM(91537,91546) = ( 91537 × 91546) / 1
LCM(91537,91546) = 8379846202 / 1
LCM(91537,91546) = 8379846202
Least Common Multiple (LCM) of 91537 and 91546 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91537 and 91546. First we will calculate the prime factors of 91537 and 91546.
Prime Factorization of 91537
Prime factors of 91537 are 239, 383. Prime factorization of 91537 in exponential form is:
91537 = 2391 × 3831
Prime Factorization of 91546
Prime factors of 91546 are 2, 7, 13, 503. Prime factorization of 91546 in exponential form is:
91546 = 21 × 71 × 131 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 91537 and 91546.
LCM(91537,91546) = 2391 × 3831 × 21 × 71 × 131 × 5031
LCM(91537,91546) = 8379846202
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