What is the Least Common Multiple of 98603 and 98615?
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 98603 and 98615 is 9723734845.
LCM(98603,98615) = 9723734845
Least Common Multiple of 98603 and 98615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98603 and 98615, than apply into the LCM equation.
GCF(98603,98615) = 1
LCM(98603,98615) = ( 98603 × 98615) / 1
LCM(98603,98615) = 9723734845 / 1
LCM(98603,98615) = 9723734845
Least Common Multiple (LCM) of 98603 and 98615 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98603 and 98615. First we will calculate the prime factors of 98603 and 98615.
Prime Factorization of 98603
Prime factors of 98603 are 151, 653. Prime factorization of 98603 in exponential form is:
98603 = 1511 × 6531
Prime Factorization of 98615
Prime factors of 98615 are 5, 11, 163. Prime factorization of 98615 in exponential form is:
98615 = 51 × 112 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 98603 and 98615.
LCM(98603,98615) = 1511 × 6531 × 51 × 112 × 1631
LCM(98603,98615) = 9723734845
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