What is the Least Common Multiple of 98887 and 98892?
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 98887 and 98892 is 9779133204.
LCM(98887,98892) = 9779133204
Least Common Multiple of 98887 and 98892 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98887 and 98892, than apply into the LCM equation.
GCF(98887,98892) = 1
LCM(98887,98892) = ( 98887 × 98892) / 1
LCM(98887,98892) = 9779133204 / 1
LCM(98887,98892) = 9779133204
Least Common Multiple (LCM) of 98887 and 98892 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98887 and 98892. First we will calculate the prime factors of 98887 and 98892.
Prime Factorization of 98887
Prime factors of 98887 are 98887. Prime factorization of 98887 in exponential form is:
98887 = 988871
Prime Factorization of 98892
Prime factors of 98892 are 2, 3, 41, 67. Prime factorization of 98892 in exponential form is:
98892 = 22 × 32 × 411 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 98887 and 98892.
LCM(98887,98892) = 988871 × 22 × 32 × 411 × 671
LCM(98887,98892) = 9779133204
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