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What is the Least Common Multiple of 60369 and 60373?

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 60369 and 60373 is 3644657637.

LCM(60369,60373) = 3644657637

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Least Common Multiple of 60369 and 60373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60369 and 60373, than apply into the LCM equation.

GCF(60369,60373) = 1
LCM(60369,60373) = ( 60369 × 60373) / 1
LCM(60369,60373) = 3644657637 / 1
LCM(60369,60373) = 3644657637

Least Common Multiple (LCM) of 60369 and 60373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60369 and 60373. First we will calculate the prime factors of 60369 and 60373.

Prime Factorization of 60369

Prime factors of 60369 are 3, 20123. Prime factorization of 60369 in exponential form is:

60369 = 31 × 201231

Prime Factorization of 60373

Prime factors of 60373 are 60373. Prime factorization of 60373 in exponential form is:

60373 = 603731

Now multiplying the highest exponent prime factors to calculate the LCM of 60369 and 60373.

LCM(60369,60373) = 31 × 201231 × 603731
LCM(60369,60373) = 3644657637