What is the Least Common Multiple of 98077 and 98094?
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 98077 and 98094 is 9620765238.
LCM(98077,98094) = 9620765238
Least Common Multiple of 98077 and 98094 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98077 and 98094, than apply into the LCM equation.
GCF(98077,98094) = 1
LCM(98077,98094) = ( 98077 × 98094) / 1
LCM(98077,98094) = 9620765238 / 1
LCM(98077,98094) = 9620765238
Least Common Multiple (LCM) of 98077 and 98094 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98077 and 98094. First we will calculate the prime factors of 98077 and 98094.
Prime Factorization of 98077
Prime factors of 98077 are 7, 14011. Prime factorization of 98077 in exponential form is:
98077 = 71 × 140111
Prime Factorization of 98094
Prime factors of 98094 are 2, 3, 16349. Prime factorization of 98094 in exponential form is:
98094 = 21 × 31 × 163491
Now multiplying the highest exponent prime factors to calculate the LCM of 98077 and 98094.
LCM(98077,98094) = 71 × 140111 × 21 × 31 × 163491
LCM(98077,98094) = 9620765238
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