What is the Least Common Multiple of 98247 and 98266?
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 98247 and 98266 is 9654339702.
LCM(98247,98266) = 9654339702
Least Common Multiple of 98247 and 98266 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98247 and 98266, than apply into the LCM equation.
GCF(98247,98266) = 1
LCM(98247,98266) = ( 98247 × 98266) / 1
LCM(98247,98266) = 9654339702 / 1
LCM(98247,98266) = 9654339702
Least Common Multiple (LCM) of 98247 and 98266 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98247 and 98266. First we will calculate the prime factors of 98247 and 98266.
Prime Factorization of 98247
Prime factors of 98247 are 3, 32749. Prime factorization of 98247 in exponential form is:
98247 = 31 × 327491
Prime Factorization of 98266
Prime factors of 98266 are 2, 7, 7019. Prime factorization of 98266 in exponential form is:
98266 = 21 × 71 × 70191
Now multiplying the highest exponent prime factors to calculate the LCM of 98247 and 98266.
LCM(98247,98266) = 31 × 327491 × 21 × 71 × 70191
LCM(98247,98266) = 9654339702
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