What is the Least Common Multiple of 98856 and 98863?
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 98856 and 98863 is 9773200728.
LCM(98856,98863) = 9773200728
Least Common Multiple of 98856 and 98863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98856 and 98863, than apply into the LCM equation.
GCF(98856,98863) = 1
LCM(98856,98863) = ( 98856 × 98863) / 1
LCM(98856,98863) = 9773200728 / 1
LCM(98856,98863) = 9773200728
Least Common Multiple (LCM) of 98856 and 98863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98856 and 98863. First we will calculate the prime factors of 98856 and 98863.
Prime Factorization of 98856
Prime factors of 98856 are 2, 3, 1373. Prime factorization of 98856 in exponential form is:
98856 = 23 × 32 × 13731
Prime Factorization of 98863
Prime factors of 98863 are 109, 907. Prime factorization of 98863 in exponential form is:
98863 = 1091 × 9071
Now multiplying the highest exponent prime factors to calculate the LCM of 98856 and 98863.
LCM(98856,98863) = 23 × 32 × 13731 × 1091 × 9071
LCM(98856,98863) = 9773200728
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