What is the Least Common Multiple of 98926 and 98939?
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 98926 and 98939 is 9787639514.
LCM(98926,98939) = 9787639514
Least Common Multiple of 98926 and 98939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98926 and 98939, than apply into the LCM equation.
GCF(98926,98939) = 1
LCM(98926,98939) = ( 98926 × 98939) / 1
LCM(98926,98939) = 9787639514 / 1
LCM(98926,98939) = 9787639514
Least Common Multiple (LCM) of 98926 and 98939 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98926 and 98939. First we will calculate the prime factors of 98926 and 98939.
Prime Factorization of 98926
Prime factors of 98926 are 2, 49463. Prime factorization of 98926 in exponential form is:
98926 = 21 × 494631
Prime Factorization of 98939
Prime factors of 98939 are 98939. Prime factorization of 98939 in exponential form is:
98939 = 989391
Now multiplying the highest exponent prime factors to calculate the LCM of 98926 and 98939.
LCM(98926,98939) = 21 × 494631 × 989391
LCM(98926,98939) = 9787639514
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