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What is the Least Common Multiple of 60370 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 60370 and 60386 is 1822751410.

LCM(60370,60386) = 1822751410

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Least Common Multiple of 60370 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 60370 and 60386, than apply into the LCM equation.

GCF(60370,60386) = 2
LCM(60370,60386) = ( 60370 × 60386) / 2
LCM(60370,60386) = 3645502820 / 2
LCM(60370,60386) = 1822751410

Least Common Multiple (LCM) of 60370 and 60386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60370 and 60386. First we will calculate the prime factors of 60370 and 60386.

Prime Factorization of 60370

Prime factors of 60370 are 2, 5, 6037. Prime factorization of 60370 in exponential form is:

60370 = 21 × 51 × 60371

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 60370 and 60386.

LCM(60370,60386) = 21 × 51 × 60371 × 1091 × 2771
LCM(60370,60386) = 1822751410