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What is the Least Common Multiple of 35473 and 35477?

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 35473 and 35477 is 1258475621.

LCM(35473,35477) = 1258475621

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Least Common Multiple of 35473 and 35477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35473 and 35477, than apply into the LCM equation.

GCF(35473,35477) = 1
LCM(35473,35477) = ( 35473 × 35477) / 1
LCM(35473,35477) = 1258475621 / 1
LCM(35473,35477) = 1258475621

Least Common Multiple (LCM) of 35473 and 35477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35473 and 35477. First we will calculate the prime factors of 35473 and 35477.

Prime Factorization of 35473

Prime factors of 35473 are 19, 1867. Prime factorization of 35473 in exponential form is:

35473 = 191 × 18671

Prime Factorization of 35477

Prime factors of 35477 are 13, 2729. Prime factorization of 35477 in exponential form is:

35477 = 131 × 27291

Now multiplying the highest exponent prime factors to calculate the LCM of 35473 and 35477.

LCM(35473,35477) = 191 × 18671 × 131 × 27291
LCM(35473,35477) = 1258475621