What is the Least Common Multiple of 91632 and 91636?
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 91632 and 91636 is 2099197488.
LCM(91632,91636) = 2099197488
Least Common Multiple of 91632 and 91636 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91632 and 91636, than apply into the LCM equation.
GCF(91632,91636) = 4
LCM(91632,91636) = ( 91632 × 91636) / 4
LCM(91632,91636) = 8396789952 / 4
LCM(91632,91636) = 2099197488
Least Common Multiple (LCM) of 91632 and 91636 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91632 and 91636. First we will calculate the prime factors of 91632 and 91636.
Prime Factorization of 91632
Prime factors of 91632 are 2, 3, 23, 83. Prime factorization of 91632 in exponential form is:
91632 = 24 × 31 × 231 × 831
Prime Factorization of 91636
Prime factors of 91636 are 2, 31, 739. Prime factorization of 91636 in exponential form is:
91636 = 22 × 311 × 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 91632 and 91636.
LCM(91632,91636) = 24 × 31 × 231 × 831 × 311 × 7391
LCM(91632,91636) = 2099197488
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