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What is the Least Common Multiple of 60367 and 60386?

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 60367 and 60386 is 3645321662.

LCM(60367,60386) = 3645321662

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Least Common Multiple of 60367 and 60386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60367 and 60386, than apply into the LCM equation.

GCF(60367,60386) = 1
LCM(60367,60386) = ( 60367 × 60386) / 1
LCM(60367,60386) = 3645321662 / 1
LCM(60367,60386) = 3645321662

Least Common Multiple (LCM) of 60367 and 60386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60367 and 60386. First we will calculate the prime factors of 60367 and 60386.

Prime Factorization of 60367

Prime factors of 60367 are 17, 53, 67. Prime factorization of 60367 in exponential form is:

60367 = 171 × 531 × 671

Prime Factorization of 60386

Prime factors of 60386 are 2, 109, 277. Prime factorization of 60386 in exponential form is:

60386 = 21 × 1091 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 60367 and 60386.

LCM(60367,60386) = 171 × 531 × 671 × 21 × 1091 × 2771
LCM(60367,60386) = 3645321662