What is the Least Common Multiple of 98061 and 98074?
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 98061 and 98074 is 9617234514.
LCM(98061,98074) = 9617234514
Least Common Multiple of 98061 and 98074 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98061 and 98074, than apply into the LCM equation.
GCF(98061,98074) = 1
LCM(98061,98074) = ( 98061 × 98074) / 1
LCM(98061,98074) = 9617234514 / 1
LCM(98061,98074) = 9617234514
Least Common Multiple (LCM) of 98061 and 98074 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98061 and 98074. First we will calculate the prime factors of 98061 and 98074.
Prime Factorization of 98061
Prime factors of 98061 are 3, 32687. Prime factorization of 98061 in exponential form is:
98061 = 31 × 326871
Prime Factorization of 98074
Prime factors of 98074 are 2, 49037. Prime factorization of 98074 in exponential form is:
98074 = 21 × 490371
Now multiplying the highest exponent prime factors to calculate the LCM of 98061 and 98074.
LCM(98061,98074) = 31 × 326871 × 21 × 490371
LCM(98061,98074) = 9617234514
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