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What is the Least Common Multiple of 60571 and 60575?

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 60571 and 60575 is 3669088325.

LCM(60571,60575) = 3669088325

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Least Common Multiple of 60571 and 60575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60571 and 60575, than apply into the LCM equation.

GCF(60571,60575) = 1
LCM(60571,60575) = ( 60571 × 60575) / 1
LCM(60571,60575) = 3669088325 / 1
LCM(60571,60575) = 3669088325

Least Common Multiple (LCM) of 60571 and 60575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60571 and 60575. First we will calculate the prime factors of 60571 and 60575.

Prime Factorization of 60571

Prime factors of 60571 are 7, 17, 509. Prime factorization of 60571 in exponential form is:

60571 = 71 × 171 × 5091

Prime Factorization of 60575

Prime factors of 60575 are 5, 2423. Prime factorization of 60575 in exponential form is:

60575 = 52 × 24231

Now multiplying the highest exponent prime factors to calculate the LCM of 60571 and 60575.

LCM(60571,60575) = 71 × 171 × 5091 × 52 × 24231
LCM(60571,60575) = 3669088325