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What is the Least Common Multiple of 59868 and 59881?

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 59868 and 59881 is 3584955708.

LCM(59868,59881) = 3584955708

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Least Common Multiple of 59868 and 59881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59868 and 59881, than apply into the LCM equation.

GCF(59868,59881) = 1
LCM(59868,59881) = ( 59868 × 59881) / 1
LCM(59868,59881) = 3584955708 / 1
LCM(59868,59881) = 3584955708

Least Common Multiple (LCM) of 59868 and 59881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59868 and 59881. First we will calculate the prime factors of 59868 and 59881.

Prime Factorization of 59868

Prime factors of 59868 are 2, 3, 1663. Prime factorization of 59868 in exponential form is:

59868 = 22 × 32 × 16631

Prime Factorization of 59881

Prime factors of 59881 are 233, 257. Prime factorization of 59881 in exponential form is:

59881 = 2331 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 59868 and 59881.

LCM(59868,59881) = 22 × 32 × 16631 × 2331 × 2571
LCM(59868,59881) = 3584955708