What is the Least Common Multiple of 91049 and 91053?
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 91049 and 91053 is 8290284597.
LCM(91049,91053) = 8290284597
Least Common Multiple of 91049 and 91053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91049 and 91053, than apply into the LCM equation.
GCF(91049,91053) = 1
LCM(91049,91053) = ( 91049 × 91053) / 1
LCM(91049,91053) = 8290284597 / 1
LCM(91049,91053) = 8290284597
Least Common Multiple (LCM) of 91049 and 91053 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91049 and 91053. First we will calculate the prime factors of 91049 and 91053.
Prime Factorization of 91049
Prime factors of 91049 are 7, 13007. Prime factorization of 91049 in exponential form is:
91049 = 71 × 130071
Prime Factorization of 91053
Prime factors of 91053 are 3, 67, 151. Prime factorization of 91053 in exponential form is:
91053 = 32 × 671 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 91049 and 91053.
LCM(91049,91053) = 71 × 130071 × 32 × 671 × 1511
LCM(91049,91053) = 8290284597
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