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What is the Least Common Multiple of 60067 and 60086?

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 60067 and 60086 is 3609185762.

LCM(60067,60086) = 3609185762

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Least Common Multiple of 60067 and 60086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60067 and 60086, than apply into the LCM equation.

GCF(60067,60086) = 1
LCM(60067,60086) = ( 60067 × 60086) / 1
LCM(60067,60086) = 3609185762 / 1
LCM(60067,60086) = 3609185762

Least Common Multiple (LCM) of 60067 and 60086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60067 and 60086. First we will calculate the prime factors of 60067 and 60086.

Prime Factorization of 60067

Prime factors of 60067 are 7, 8581. Prime factorization of 60067 in exponential form is:

60067 = 71 × 85811

Prime Factorization of 60086

Prime factors of 60086 are 2, 13, 2311. Prime factorization of 60086 in exponential form is:

60086 = 21 × 131 × 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 60067 and 60086.

LCM(60067,60086) = 71 × 85811 × 21 × 131 × 23111
LCM(60067,60086) = 3609185762