What is the Least Common Multiple of 98680 and 98687?
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 98680 and 98687 is 9738433160.
LCM(98680,98687) = 9738433160
Least Common Multiple of 98680 and 98687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98680 and 98687, than apply into the LCM equation.
GCF(98680,98687) = 1
LCM(98680,98687) = ( 98680 × 98687) / 1
LCM(98680,98687) = 9738433160 / 1
LCM(98680,98687) = 9738433160
Least Common Multiple (LCM) of 98680 and 98687 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98680 and 98687. First we will calculate the prime factors of 98680 and 98687.
Prime Factorization of 98680
Prime factors of 98680 are 2, 5, 2467. Prime factorization of 98680 in exponential form is:
98680 = 23 × 51 × 24671
Prime Factorization of 98687
Prime factors of 98687 are 29, 41, 83. Prime factorization of 98687 in exponential form is:
98687 = 291 × 411 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 98680 and 98687.
LCM(98680,98687) = 23 × 51 × 24671 × 291 × 411 × 831
LCM(98680,98687) = 9738433160
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