What is the Least Common Multiple of 98830 and 98840?
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 98830 and 98840 is 976835720.
LCM(98830,98840) = 976835720
Least Common Multiple of 98830 and 98840 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98830 and 98840, than apply into the LCM equation.
GCF(98830,98840) = 10
LCM(98830,98840) = ( 98830 × 98840) / 10
LCM(98830,98840) = 9768357200 / 10
LCM(98830,98840) = 976835720
Least Common Multiple (LCM) of 98830 and 98840 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98830 and 98840. First we will calculate the prime factors of 98830 and 98840.
Prime Factorization of 98830
Prime factors of 98830 are 2, 5, 9883. Prime factorization of 98830 in exponential form is:
98830 = 21 × 51 × 98831
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
Now multiplying the highest exponent prime factors to calculate the LCM of 98830 and 98840.
LCM(98830,98840) = 23 × 51 × 98831 × 71 × 3531
LCM(98830,98840) = 976835720
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