What is the Least Common Multiple of 92081 and 92098?
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 92081 and 92098 is 8480475938.
LCM(92081,92098) = 8480475938
Least Common Multiple of 92081 and 92098 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92081 and 92098, than apply into the LCM equation.
GCF(92081,92098) = 1
LCM(92081,92098) = ( 92081 × 92098) / 1
LCM(92081,92098) = 8480475938 / 1
LCM(92081,92098) = 8480475938
Least Common Multiple (LCM) of 92081 and 92098 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92081 and 92098. First we will calculate the prime factors of 92081 and 92098.
Prime Factorization of 92081
Prime factors of 92081 are 11, 761. Prime factorization of 92081 in exponential form is:
92081 = 112 × 7611
Prime Factorization of 92098
Prime factors of 92098 are 2, 46049. Prime factorization of 92098 in exponential form is:
92098 = 21 × 460491
Now multiplying the highest exponent prime factors to calculate the LCM of 92081 and 92098.
LCM(92081,92098) = 112 × 7611 × 21 × 460491
LCM(92081,92098) = 8480475938
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