What is the Least Common Multiple of 98949 and 98953?
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 98949 and 98953 is 9791300397.
LCM(98949,98953) = 9791300397
Least Common Multiple of 98949 and 98953 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98949 and 98953, than apply into the LCM equation.
GCF(98949,98953) = 1
LCM(98949,98953) = ( 98949 × 98953) / 1
LCM(98949,98953) = 9791300397 / 1
LCM(98949,98953) = 9791300397
Least Common Multiple (LCM) of 98949 and 98953 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98949 and 98953. First we will calculate the prime factors of 98949 and 98953.
Prime Factorization of 98949
Prime factors of 98949 are 3, 32983. Prime factorization of 98949 in exponential form is:
98949 = 31 × 329831
Prime Factorization of 98953
Prime factors of 98953 are 98953. Prime factorization of 98953 in exponential form is:
98953 = 989531
Now multiplying the highest exponent prime factors to calculate the LCM of 98949 and 98953.
LCM(98949,98953) = 31 × 329831 × 989531
LCM(98949,98953) = 9791300397
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