What is the Least Common Multiple of 98452 and 98456?
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 98452 and 98456 is 2423297528.
LCM(98452,98456) = 2423297528
Least Common Multiple of 98452 and 98456 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98452 and 98456, than apply into the LCM equation.
GCF(98452,98456) = 4
LCM(98452,98456) = ( 98452 × 98456) / 4
LCM(98452,98456) = 9693190112 / 4
LCM(98452,98456) = 2423297528
Least Common Multiple (LCM) of 98452 and 98456 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98452 and 98456. First we will calculate the prime factors of 98452 and 98456.
Prime Factorization of 98452
Prime factors of 98452 are 2, 151, 163. Prime factorization of 98452 in exponential form is:
98452 = 22 × 1511 × 1631
Prime Factorization of 98456
Prime factors of 98456 are 2, 31, 397. Prime factorization of 98456 in exponential form is:
98456 = 23 × 311 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 98452 and 98456.
LCM(98452,98456) = 23 × 1511 × 1631 × 311 × 3971
LCM(98452,98456) = 2423297528
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