What is the Least Common Multiple of 85581 and 85601?
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 85581 and 85601 is 7325819181.
LCM(85581,85601) = 7325819181
Least Common Multiple of 85581 and 85601 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85581 and 85601, than apply into the LCM equation.
GCF(85581,85601) = 1
LCM(85581,85601) = ( 85581 × 85601) / 1
LCM(85581,85601) = 7325819181 / 1
LCM(85581,85601) = 7325819181
Least Common Multiple (LCM) of 85581 and 85601 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85581 and 85601. First we will calculate the prime factors of 85581 and 85601.
Prime Factorization of 85581
Prime factors of 85581 are 3, 37, 257. Prime factorization of 85581 in exponential form is:
85581 = 32 × 371 × 2571
Prime Factorization of 85601
Prime factors of 85601 are 85601. Prime factorization of 85601 in exponential form is:
85601 = 856011
Now multiplying the highest exponent prime factors to calculate the LCM of 85581 and 85601.
LCM(85581,85601) = 32 × 371 × 2571 × 856011
LCM(85581,85601) = 7325819181
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