What is the Least Common Multiple of 98611 and 98620?
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 98611 and 98620 is 9725016820.
LCM(98611,98620) = 9725016820
Least Common Multiple of 98611 and 98620 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98611 and 98620, than apply into the LCM equation.
GCF(98611,98620) = 1
LCM(98611,98620) = ( 98611 × 98620) / 1
LCM(98611,98620) = 9725016820 / 1
LCM(98611,98620) = 9725016820
Least Common Multiple (LCM) of 98611 and 98620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98611 and 98620. First we will calculate the prime factors of 98611 and 98620.
Prime Factorization of 98611
Prime factors of 98611 are 31, 3181. Prime factorization of 98611 in exponential form is:
98611 = 311 × 31811
Prime Factorization of 98620
Prime factors of 98620 are 2, 5, 4931. Prime factorization of 98620 in exponential form is:
98620 = 22 × 51 × 49311
Now multiplying the highest exponent prime factors to calculate the LCM of 98611 and 98620.
LCM(98611,98620) = 311 × 31811 × 22 × 51 × 49311
LCM(98611,98620) = 9725016820
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