What is the Least Common Multiple of 98182 and 98195?
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 98182 and 98195 is 9640981490.
LCM(98182,98195) = 9640981490
Least Common Multiple of 98182 and 98195 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98182 and 98195, than apply into the LCM equation.
GCF(98182,98195) = 1
LCM(98182,98195) = ( 98182 × 98195) / 1
LCM(98182,98195) = 9640981490 / 1
LCM(98182,98195) = 9640981490
Least Common Multiple (LCM) of 98182 and 98195 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98182 and 98195. First we will calculate the prime factors of 98182 and 98195.
Prime Factorization of 98182
Prime factors of 98182 are 2, 7, 7013. Prime factorization of 98182 in exponential form is:
98182 = 21 × 71 × 70131
Prime Factorization of 98195
Prime factors of 98195 are 5, 41, 479. Prime factorization of 98195 in exponential form is:
98195 = 51 × 411 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 98182 and 98195.
LCM(98182,98195) = 21 × 71 × 70131 × 51 × 411 × 4791
LCM(98182,98195) = 9640981490
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