What is the Least Common Multiple of 98641 and 98651?
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 98641 and 98651 is 9731033291.
LCM(98641,98651) = 9731033291
Least Common Multiple of 98641 and 98651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98641 and 98651, than apply into the LCM equation.
GCF(98641,98651) = 1
LCM(98641,98651) = ( 98641 × 98651) / 1
LCM(98641,98651) = 9731033291 / 1
LCM(98641,98651) = 9731033291
Least Common Multiple (LCM) of 98641 and 98651 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98641 and 98651. First we will calculate the prime factors of 98641 and 98651.
Prime Factorization of 98641
Prime factors of 98641 are 98641. Prime factorization of 98641 in exponential form is:
98641 = 986411
Prime Factorization of 98651
Prime factors of 98651 are 7, 17, 829. Prime factorization of 98651 in exponential form is:
98651 = 71 × 171 × 8291
Now multiplying the highest exponent prime factors to calculate the LCM of 98641 and 98651.
LCM(98641,98651) = 986411 × 71 × 171 × 8291
LCM(98641,98651) = 9731033291
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