What is the Least Common Multiple of 98149 and 98158?
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 98149 and 98158 is 9634109542.
LCM(98149,98158) = 9634109542
Least Common Multiple of 98149 and 98158 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98149 and 98158, than apply into the LCM equation.
GCF(98149,98158) = 1
LCM(98149,98158) = ( 98149 × 98158) / 1
LCM(98149,98158) = 9634109542 / 1
LCM(98149,98158) = 9634109542
Least Common Multiple (LCM) of 98149 and 98158 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98149 and 98158. First we will calculate the prime factors of 98149 and 98158.
Prime Factorization of 98149
Prime factors of 98149 are 61, 1609. Prime factorization of 98149 in exponential form is:
98149 = 611 × 16091
Prime Factorization of 98158
Prime factors of 98158 are 2, 17, 2887. Prime factorization of 98158 in exponential form is:
98158 = 21 × 171 × 28871
Now multiplying the highest exponent prime factors to calculate the LCM of 98149 and 98158.
LCM(98149,98158) = 611 × 16091 × 21 × 171 × 28871
LCM(98149,98158) = 9634109542
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