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What is the Least Common Multiple of 60366 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 60366 and 60377 is 3644717982.

LCM(60366,60377) = 3644717982

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Least Common Multiple of 60366 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 60366 and 60377, than apply into the LCM equation.

GCF(60366,60377) = 1
LCM(60366,60377) = ( 60366 × 60377) / 1
LCM(60366,60377) = 3644717982 / 1
LCM(60366,60377) = 3644717982

Least Common Multiple (LCM) of 60366 and 60377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60366 and 60377. First we will calculate the prime factors of 60366 and 60377.

Prime Factorization of 60366

Prime factors of 60366 are 2, 3, 10061. Prime factorization of 60366 in exponential form is:

60366 = 21 × 31 × 100611

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 60366 and 60377.

LCM(60366,60377) = 21 × 31 × 100611 × 1731 × 3491
LCM(60366,60377) = 3644717982