What is the Least Common Multiple of 98522 and 98537?
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 98522 and 98537 is 9708062314.
LCM(98522,98537) = 9708062314
Least Common Multiple of 98522 and 98537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98522 and 98537, than apply into the LCM equation.
GCF(98522,98537) = 1
LCM(98522,98537) = ( 98522 × 98537) / 1
LCM(98522,98537) = 9708062314 / 1
LCM(98522,98537) = 9708062314
Least Common Multiple (LCM) of 98522 and 98537 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98522 and 98537. First we will calculate the prime factors of 98522 and 98537.
Prime Factorization of 98522
Prime factors of 98522 are 2, 49261. Prime factorization of 98522 in exponential form is:
98522 = 21 × 492611
Prime Factorization of 98537
Prime factors of 98537 are 211, 467. Prime factorization of 98537 in exponential form is:
98537 = 2111 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 98522 and 98537.
LCM(98522,98537) = 21 × 492611 × 2111 × 4671
LCM(98522,98537) = 9708062314
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