What is the Least Common Multiple of 98437 and 98443?
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 98437 and 98443 is 9690433591.
LCM(98437,98443) = 9690433591
Least Common Multiple of 98437 and 98443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98437 and 98443, than apply into the LCM equation.
GCF(98437,98443) = 1
LCM(98437,98443) = ( 98437 × 98443) / 1
LCM(98437,98443) = 9690433591 / 1
LCM(98437,98443) = 9690433591
Least Common Multiple (LCM) of 98437 and 98443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98437 and 98443. First we will calculate the prime factors of 98437 and 98443.
Prime Factorization of 98437
Prime factors of 98437 are 173, 569. Prime factorization of 98437 in exponential form is:
98437 = 1731 × 5691
Prime Factorization of 98443
Prime factors of 98443 are 98443. Prime factorization of 98443 in exponential form is:
98443 = 984431
Now multiplying the highest exponent prime factors to calculate the LCM of 98437 and 98443.
LCM(98437,98443) = 1731 × 5691 × 984431
LCM(98437,98443) = 9690433591
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