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What is the Least Common Multiple of 83522 and 83541?

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 83522 and 83541 is 6977511402.

LCM(83522,83541) = 6977511402

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Least Common Multiple of 83522 and 83541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83522 and 83541, than apply into the LCM equation.

GCF(83522,83541) = 1
LCM(83522,83541) = ( 83522 × 83541) / 1
LCM(83522,83541) = 6977511402 / 1
LCM(83522,83541) = 6977511402

Least Common Multiple (LCM) of 83522 and 83541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83522 and 83541. First we will calculate the prime factors of 83522 and 83541.

Prime Factorization of 83522

Prime factors of 83522 are 2, 41761. Prime factorization of 83522 in exponential form is:

83522 = 21 × 417611

Prime Factorization of 83541

Prime factors of 83541 are 3, 27847. Prime factorization of 83541 in exponential form is:

83541 = 31 × 278471

Now multiplying the highest exponent prime factors to calculate the LCM of 83522 and 83541.

LCM(83522,83541) = 21 × 417611 × 31 × 278471
LCM(83522,83541) = 6977511402