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What is the Least Common Multiple of 60380 and 60391?

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 60380 and 60391 is 3646408580.

LCM(60380,60391) = 3646408580

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Least Common Multiple of 60380 and 60391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60380 and 60391, than apply into the LCM equation.

GCF(60380,60391) = 1
LCM(60380,60391) = ( 60380 × 60391) / 1
LCM(60380,60391) = 3646408580 / 1
LCM(60380,60391) = 3646408580

Least Common Multiple (LCM) of 60380 and 60391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60380 and 60391. First we will calculate the prime factors of 60380 and 60391.

Prime Factorization of 60380

Prime factors of 60380 are 2, 5, 3019. Prime factorization of 60380 in exponential form is:

60380 = 22 × 51 × 30191

Prime Factorization of 60391

Prime factors of 60391 are 131, 461. Prime factorization of 60391 in exponential form is:

60391 = 1311 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 60380 and 60391.

LCM(60380,60391) = 22 × 51 × 30191 × 1311 × 4611
LCM(60380,60391) = 3646408580