What is the Least Common Multiple of 98679 and 98694?
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 98679 and 98694 is 3246341742.
LCM(98679,98694) = 3246341742
Least Common Multiple of 98679 and 98694 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98679 and 98694, than apply into the LCM equation.
GCF(98679,98694) = 3
LCM(98679,98694) = ( 98679 × 98694) / 3
LCM(98679,98694) = 9739025226 / 3
LCM(98679,98694) = 3246341742
Least Common Multiple (LCM) of 98679 and 98694 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98679 and 98694. First we will calculate the prime factors of 98679 and 98694.
Prime Factorization of 98679
Prime factors of 98679 are 3, 7, 37, 127. Prime factorization of 98679 in exponential form is:
98679 = 31 × 71 × 371 × 1271
Prime Factorization of 98694
Prime factors of 98694 are 2, 3, 5483. Prime factorization of 98694 in exponential form is:
98694 = 21 × 32 × 54831
Now multiplying the highest exponent prime factors to calculate the LCM of 98679 and 98694.
LCM(98679,98694) = 32 × 71 × 371 × 1271 × 21 × 54831
LCM(98679,98694) = 3246341742
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