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What is the Least Common Multiple of 1035 and 1041?

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 1035 and 1041 is 359145.

LCM(1035,1041) = 359145

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Least Common Multiple of 1035 and 1041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1035 and 1041, than apply into the LCM equation.

GCF(1035,1041) = 3
LCM(1035,1041) = ( 1035 × 1041) / 3
LCM(1035,1041) = 1077435 / 3
LCM(1035,1041) = 359145

Least Common Multiple (LCM) of 1035 and 1041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1035 and 1041. First we will calculate the prime factors of 1035 and 1041.

Prime Factorization of 1035

Prime factors of 1035 are 3, 5, 23. Prime factorization of 1035 in exponential form is:

1035 = 32 × 51 × 231

Prime Factorization of 1041

Prime factors of 1041 are 3, 347. Prime factorization of 1041 in exponential form is:

1041 = 31 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 1035 and 1041.

LCM(1035,1041) = 32 × 51 × 231 × 3471
LCM(1035,1041) = 359145