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What is the Least Common Multiple of 80526 and 80536?

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 80526 and 80536 is 3242620968.

LCM(80526,80536) = 3242620968

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Least Common Multiple of 80526 and 80536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80526 and 80536, than apply into the LCM equation.

GCF(80526,80536) = 2
LCM(80526,80536) = ( 80526 × 80536) / 2
LCM(80526,80536) = 6485241936 / 2
LCM(80526,80536) = 3242620968

Least Common Multiple (LCM) of 80526 and 80536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80526 and 80536. First we will calculate the prime factors of 80526 and 80536.

Prime Factorization of 80526

Prime factors of 80526 are 2, 3, 13421. Prime factorization of 80526 in exponential form is:

80526 = 21 × 31 × 134211

Prime Factorization of 80536

Prime factors of 80536 are 2, 10067. Prime factorization of 80536 in exponential form is:

80536 = 23 × 100671

Now multiplying the highest exponent prime factors to calculate the LCM of 80526 and 80536.

LCM(80526,80536) = 23 × 31 × 134211 × 100671
LCM(80526,80536) = 3242620968