What is the Least Common Multiple of 98025 and 98044?
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 98025 and 98044 is 9610763100.
LCM(98025,98044) = 9610763100
Least Common Multiple of 98025 and 98044 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98025 and 98044, than apply into the LCM equation.
GCF(98025,98044) = 1
LCM(98025,98044) = ( 98025 × 98044) / 1
LCM(98025,98044) = 9610763100 / 1
LCM(98025,98044) = 9610763100
Least Common Multiple (LCM) of 98025 and 98044 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98025 and 98044. First we will calculate the prime factors of 98025 and 98044.
Prime Factorization of 98025
Prime factors of 98025 are 3, 5, 1307. Prime factorization of 98025 in exponential form is:
98025 = 31 × 52 × 13071
Prime Factorization of 98044
Prime factors of 98044 are 2, 127, 193. Prime factorization of 98044 in exponential form is:
98044 = 22 × 1271 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 98025 and 98044.
LCM(98025,98044) = 31 × 52 × 13071 × 22 × 1271 × 1931
LCM(98025,98044) = 9610763100
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