What is the Least Common Multiple of 98840 and 98851?
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 98840 and 98851 is 9770432840.
LCM(98840,98851) = 9770432840
Least Common Multiple of 98840 and 98851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98840 and 98851, than apply into the LCM equation.
GCF(98840,98851) = 1
LCM(98840,98851) = ( 98840 × 98851) / 1
LCM(98840,98851) = 9770432840 / 1
LCM(98840,98851) = 9770432840
Least Common Multiple (LCM) of 98840 and 98851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98840 and 98851. First we will calculate the prime factors of 98840 and 98851.
Prime Factorization of 98840
Prime factors of 98840 are 2, 5, 7, 353. Prime factorization of 98840 in exponential form is:
98840 = 23 × 51 × 71 × 3531
Prime Factorization of 98851
Prime factors of 98851 are 41, 2411. Prime factorization of 98851 in exponential form is:
98851 = 411 × 24111
Now multiplying the highest exponent prime factors to calculate the LCM of 98840 and 98851.
LCM(98840,98851) = 23 × 51 × 71 × 3531 × 411 × 24111
LCM(98840,98851) = 9770432840
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