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What is the Least Common Multiple of 60368 and 60377?

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 60368 and 60377 is 3644838736.

LCM(60368,60377) = 3644838736

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Least Common Multiple of 60368 and 60377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60368 and 60377, than apply into the LCM equation.

GCF(60368,60377) = 1
LCM(60368,60377) = ( 60368 × 60377) / 1
LCM(60368,60377) = 3644838736 / 1
LCM(60368,60377) = 3644838736

Least Common Multiple (LCM) of 60368 and 60377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60368 and 60377. First we will calculate the prime factors of 60368 and 60377.

Prime Factorization of 60368

Prime factors of 60368 are 2, 7, 11. Prime factorization of 60368 in exponential form is:

60368 = 24 × 73 × 111

Prime Factorization of 60377

Prime factors of 60377 are 173, 349. Prime factorization of 60377 in exponential form is:

60377 = 1731 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 60368 and 60377.

LCM(60368,60377) = 24 × 73 × 111 × 1731 × 3491
LCM(60368,60377) = 3644838736