What is the Least Common Multiple of 98830 and 98837?
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 98837 is 9768060710.
LCM(98830,98837) = 9768060710
Least Common Multiple of 98830 and 98837 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 98837, than apply into the LCM equation.
GCF(98830,98837) = 1
LCM(98830,98837) = ( 98830 × 98837) / 1
LCM(98830,98837) = 9768060710 / 1
LCM(98830,98837) = 9768060710
Least Common Multiple (LCM) of 98830 and 98837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98830 and 98837. First we will calculate the prime factors of 98830 and 98837.
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 98837
Prime factors of 98837 are 98837. Prime factorization of 98837 in exponential form is:
98837 = 988371
Now multiplying the highest exponent prime factors to calculate the LCM of 98830 and 98837.
LCM(98830,98837) = 21 × 51 × 98831 × 988371
LCM(98830,98837) = 9768060710
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