What is the Least Common Multiple of 98378 and 98385?
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 98378 and 98385 is 1382702790.
LCM(98378,98385) = 1382702790
Least Common Multiple of 98378 and 98385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98378 and 98385, than apply into the LCM equation.
GCF(98378,98385) = 7
LCM(98378,98385) = ( 98378 × 98385) / 7
LCM(98378,98385) = 9678919530 / 7
LCM(98378,98385) = 1382702790
Least Common Multiple (LCM) of 98378 and 98385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98378 and 98385. First we will calculate the prime factors of 98378 and 98385.
Prime Factorization of 98378
Prime factors of 98378 are 2, 7, 7027. Prime factorization of 98378 in exponential form is:
98378 = 21 × 71 × 70271
Prime Factorization of 98385
Prime factors of 98385 are 3, 5, 7, 937. Prime factorization of 98385 in exponential form is:
98385 = 31 × 51 × 71 × 9371
Now multiplying the highest exponent prime factors to calculate the LCM of 98378 and 98385.
LCM(98378,98385) = 21 × 71 × 70271 × 31 × 51 × 9371
LCM(98378,98385) = 1382702790
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