What is the Least Common Multiple of 98788 and 98803?
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 98788 and 98803 is 9760550764.
LCM(98788,98803) = 9760550764
Least Common Multiple of 98788 and 98803 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98788 and 98803, than apply into the LCM equation.
GCF(98788,98803) = 1
LCM(98788,98803) = ( 98788 × 98803) / 1
LCM(98788,98803) = 9760550764 / 1
LCM(98788,98803) = 9760550764
Least Common Multiple (LCM) of 98788 and 98803 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98788 and 98803. First we will calculate the prime factors of 98788 and 98803.
Prime Factorization of 98788
Prime factors of 98788 are 2, 24697. Prime factorization of 98788 in exponential form is:
98788 = 22 × 246971
Prime Factorization of 98803
Prime factors of 98803 are 29, 3407. Prime factorization of 98803 in exponential form is:
98803 = 291 × 34071
Now multiplying the highest exponent prime factors to calculate the LCM of 98788 and 98803.
LCM(98788,98803) = 22 × 246971 × 291 × 34071
LCM(98788,98803) = 9760550764
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