What is the Least Common Multiple of 93522 and 93526?
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 93522 and 93526 is 4373369286.
LCM(93522,93526) = 4373369286
Least Common Multiple of 93522 and 93526 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93522 and 93526, than apply into the LCM equation.
GCF(93522,93526) = 2
LCM(93522,93526) = ( 93522 × 93526) / 2
LCM(93522,93526) = 8746738572 / 2
LCM(93522,93526) = 4373369286
Least Common Multiple (LCM) of 93522 and 93526 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93522 and 93526. First we will calculate the prime factors of 93522 and 93526.
Prime Factorization of 93522
Prime factors of 93522 are 2, 3, 11, 13, 109. Prime factorization of 93522 in exponential form is:
93522 = 21 × 31 × 111 × 131 × 1091
Prime Factorization of 93526
Prime factors of 93526 are 2, 101, 463. Prime factorization of 93526 in exponential form is:
93526 = 21 × 1011 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 93522 and 93526.
LCM(93522,93526) = 21 × 31 × 111 × 131 × 1091 × 1011 × 4631
LCM(93522,93526) = 4373369286
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