What is the Least Common Multiple of 98895 and 98915?
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 98895 and 98915 is 1956439785.
LCM(98895,98915) = 1956439785
Least Common Multiple of 98895 and 98915 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98895 and 98915, than apply into the LCM equation.
GCF(98895,98915) = 5
LCM(98895,98915) = ( 98895 × 98915) / 5
LCM(98895,98915) = 9782198925 / 5
LCM(98895,98915) = 1956439785
Least Common Multiple (LCM) of 98895 and 98915 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98895 and 98915. First we will calculate the prime factors of 98895 and 98915.
Prime Factorization of 98895
Prime factors of 98895 are 3, 5, 19, 347. Prime factorization of 98895 in exponential form is:
98895 = 31 × 51 × 191 × 3471
Prime Factorization of 98915
Prime factors of 98915 are 5, 73, 271. Prime factorization of 98915 in exponential form is:
98915 = 51 × 731 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 98895 and 98915.
LCM(98895,98915) = 31 × 51 × 191 × 3471 × 731 × 2711
LCM(98895,98915) = 1956439785
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