What is the Least Common Multiple of 92926 and 92937?
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 92926 and 92937 is 8636263662.
LCM(92926,92937) = 8636263662
Least Common Multiple of 92926 and 92937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92926 and 92937, than apply into the LCM equation.
GCF(92926,92937) = 1
LCM(92926,92937) = ( 92926 × 92937) / 1
LCM(92926,92937) = 8636263662 / 1
LCM(92926,92937) = 8636263662
Least Common Multiple (LCM) of 92926 and 92937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92926 and 92937. First we will calculate the prime factors of 92926 and 92937.
Prime Factorization of 92926
Prime factors of 92926 are 2, 97, 479. Prime factorization of 92926 in exponential form is:
92926 = 21 × 971 × 4791
Prime Factorization of 92937
Prime factors of 92937 are 3, 13, 2383. Prime factorization of 92937 in exponential form is:
92937 = 31 × 131 × 23831
Now multiplying the highest exponent prime factors to calculate the LCM of 92926 and 92937.
LCM(92926,92937) = 21 × 971 × 4791 × 31 × 131 × 23831
LCM(92926,92937) = 8636263662
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