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What is the Least Common Multiple of 60341 and 60356?

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 60341 and 60356 is 3641941396.

LCM(60341,60356) = 3641941396

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Least Common Multiple of 60341 and 60356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60341 and 60356, than apply into the LCM equation.

GCF(60341,60356) = 1
LCM(60341,60356) = ( 60341 × 60356) / 1
LCM(60341,60356) = 3641941396 / 1
LCM(60341,60356) = 3641941396

Least Common Multiple (LCM) of 60341 and 60356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60341 and 60356. First we will calculate the prime factors of 60341 and 60356.

Prime Factorization of 60341

Prime factors of 60341 are 83, 727. Prime factorization of 60341 in exponential form is:

60341 = 831 × 7271

Prime Factorization of 60356

Prime factors of 60356 are 2, 79, 191. Prime factorization of 60356 in exponential form is:

60356 = 22 × 791 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 60341 and 60356.

LCM(60341,60356) = 831 × 7271 × 22 × 791 × 1911
LCM(60341,60356) = 3641941396