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What is the Least Common Multiple of 60081 and 60088?

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 60081 and 60088 is 515735304.

LCM(60081,60088) = 515735304

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Least Common Multiple of 60081 and 60088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60081 and 60088, than apply into the LCM equation.

GCF(60081,60088) = 7
LCM(60081,60088) = ( 60081 × 60088) / 7
LCM(60081,60088) = 3610147128 / 7
LCM(60081,60088) = 515735304

Least Common Multiple (LCM) of 60081 and 60088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60081 and 60088. First we will calculate the prime factors of 60081 and 60088.

Prime Factorization of 60081

Prime factors of 60081 are 3, 7, 2861. Prime factorization of 60081 in exponential form is:

60081 = 31 × 71 × 28611

Prime Factorization of 60088

Prime factors of 60088 are 2, 7, 29, 37. Prime factorization of 60088 in exponential form is:

60088 = 23 × 71 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 60081 and 60088.

LCM(60081,60088) = 31 × 71 × 28611 × 23 × 291 × 371
LCM(60081,60088) = 515735304