What is the Least Common Multiple of 91498 and 91512?
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 91498 and 91512 is 4186582488.
LCM(91498,91512) = 4186582488
Least Common Multiple of 91498 and 91512 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91498 and 91512, than apply into the LCM equation.
GCF(91498,91512) = 2
LCM(91498,91512) = ( 91498 × 91512) / 2
LCM(91498,91512) = 8373164976 / 2
LCM(91498,91512) = 4186582488
Least Common Multiple (LCM) of 91498 and 91512 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91498 and 91512. First we will calculate the prime factors of 91498 and 91512.
Prime Factorization of 91498
Prime factors of 91498 are 2, 11, 4159. Prime factorization of 91498 in exponential form is:
91498 = 21 × 111 × 41591
Prime Factorization of 91512
Prime factors of 91512 are 2, 3, 31, 41. Prime factorization of 91512 in exponential form is:
91512 = 23 × 32 × 311 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 91498 and 91512.
LCM(91498,91512) = 23 × 111 × 41591 × 32 × 311 × 411
LCM(91498,91512) = 4186582488
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