What is the Least Common Multiple of 91451 and 91463?
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 91451 and 91463 is 8364382813.
LCM(91451,91463) = 8364382813
Least Common Multiple of 91451 and 91463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91451 and 91463, than apply into the LCM equation.
GCF(91451,91463) = 1
LCM(91451,91463) = ( 91451 × 91463) / 1
LCM(91451,91463) = 8364382813 / 1
LCM(91451,91463) = 8364382813
Least Common Multiple (LCM) of 91451 and 91463 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91451 and 91463. First we will calculate the prime factors of 91451 and 91463.
Prime Factorization of 91451
Prime factors of 91451 are 109, 839. Prime factorization of 91451 in exponential form is:
91451 = 1091 × 8391
Prime Factorization of 91463
Prime factors of 91463 are 91463. Prime factorization of 91463 in exponential form is:
91463 = 914631
Now multiplying the highest exponent prime factors to calculate the LCM of 91451 and 91463.
LCM(91451,91463) = 1091 × 8391 × 914631
LCM(91451,91463) = 8364382813
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