What is the Least Common Multiple of 91628 and 91632?
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 91628 and 91632 is 2099014224.
LCM(91628,91632) = 2099014224
Least Common Multiple of 91628 and 91632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91628 and 91632, than apply into the LCM equation.
GCF(91628,91632) = 4
LCM(91628,91632) = ( 91628 × 91632) / 4
LCM(91628,91632) = 8396056896 / 4
LCM(91628,91632) = 2099014224
Least Common Multiple (LCM) of 91628 and 91632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91628 and 91632. First we will calculate the prime factors of 91628 and 91632.
Prime Factorization of 91628
Prime factors of 91628 are 2, 22907. Prime factorization of 91628 in exponential form is:
91628 = 22 × 229071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 91628 and 91632.
LCM(91628,91632) = 24 × 229071 × 31 × 231 × 831
LCM(91628,91632) = 2099014224
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