What is the Least Common Multiple of 98312 and 98324?
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 98312 and 98324 is 2416607272.
LCM(98312,98324) = 2416607272
Least Common Multiple of 98312 and 98324 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98312 and 98324, than apply into the LCM equation.
GCF(98312,98324) = 4
LCM(98312,98324) = ( 98312 × 98324) / 4
LCM(98312,98324) = 9666429088 / 4
LCM(98312,98324) = 2416607272
Least Common Multiple (LCM) of 98312 and 98324 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98312 and 98324. First we will calculate the prime factors of 98312 and 98324.
Prime Factorization of 98312
Prime factors of 98312 are 2, 12289. Prime factorization of 98312 in exponential form is:
98312 = 23 × 122891
Prime Factorization of 98324
Prime factors of 98324 are 2, 47, 523. Prime factorization of 98324 in exponential form is:
98324 = 22 × 471 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 98312 and 98324.
LCM(98312,98324) = 23 × 122891 × 471 × 5231
LCM(98312,98324) = 2416607272
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