What is the Least Common Multiple of 98862 and 98870?
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 98862 and 98870 is 4887242970.
LCM(98862,98870) = 4887242970
Least Common Multiple of 98862 and 98870 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98862 and 98870, than apply into the LCM equation.
GCF(98862,98870) = 2
LCM(98862,98870) = ( 98862 × 98870) / 2
LCM(98862,98870) = 9774485940 / 2
LCM(98862,98870) = 4887242970
Least Common Multiple (LCM) of 98862 and 98870 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98862 and 98870. First we will calculate the prime factors of 98862 and 98870.
Prime Factorization of 98862
Prime factors of 98862 are 2, 3, 16477. Prime factorization of 98862 in exponential form is:
98862 = 21 × 31 × 164771
Prime Factorization of 98870
Prime factors of 98870 are 2, 5, 9887. Prime factorization of 98870 in exponential form is:
98870 = 21 × 51 × 98871
Now multiplying the highest exponent prime factors to calculate the LCM of 98862 and 98870.
LCM(98862,98870) = 21 × 31 × 164771 × 51 × 98871
LCM(98862,98870) = 4887242970
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