What is the Least Common Multiple of 98837 and 98843?
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 98837 and 98843 is 9769345591.
LCM(98837,98843) = 9769345591
Least Common Multiple of 98837 and 98843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98837 and 98843, than apply into the LCM equation.
GCF(98837,98843) = 1
LCM(98837,98843) = ( 98837 × 98843) / 1
LCM(98837,98843) = 9769345591 / 1
LCM(98837,98843) = 9769345591
Least Common Multiple (LCM) of 98837 and 98843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98837 and 98843. First we will calculate the prime factors of 98837 and 98843.
Prime Factorization of 98837
Prime factors of 98837 are 98837. Prime factorization of 98837 in exponential form is:
98837 = 988371
Prime Factorization of 98843
Prime factors of 98843 are 97, 1019. Prime factorization of 98843 in exponential form is:
98843 = 971 × 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 98837 and 98843.
LCM(98837,98843) = 988371 × 971 × 10191
LCM(98837,98843) = 9769345591
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