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What is the Least Common Multiple of 53370 and 53377?

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 53370 and 53377 is 2848730490.

LCM(53370,53377) = 2848730490

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Least Common Multiple of 53370 and 53377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53370 and 53377, than apply into the LCM equation.

GCF(53370,53377) = 1
LCM(53370,53377) = ( 53370 × 53377) / 1
LCM(53370,53377) = 2848730490 / 1
LCM(53370,53377) = 2848730490

Least Common Multiple (LCM) of 53370 and 53377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53370 and 53377. First we will calculate the prime factors of 53370 and 53377.

Prime Factorization of 53370

Prime factors of 53370 are 2, 3, 5, 593. Prime factorization of 53370 in exponential form is:

53370 = 21 × 32 × 51 × 5931

Prime Factorization of 53377

Prime factors of 53377 are 53377. Prime factorization of 53377 in exponential form is:

53377 = 533771

Now multiplying the highest exponent prime factors to calculate the LCM of 53370 and 53377.

LCM(53370,53377) = 21 × 32 × 51 × 5931 × 533771
LCM(53370,53377) = 2848730490