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What is the Least Common Multiple of 41030 and 41035?

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 41030 and 41035 is 336733210.

LCM(41030,41035) = 336733210

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Least Common Multiple of 41030 and 41035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41030 and 41035, than apply into the LCM equation.

GCF(41030,41035) = 5
LCM(41030,41035) = ( 41030 × 41035) / 5
LCM(41030,41035) = 1683666050 / 5
LCM(41030,41035) = 336733210

Least Common Multiple (LCM) of 41030 and 41035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41030 and 41035. First we will calculate the prime factors of 41030 and 41035.

Prime Factorization of 41030

Prime factors of 41030 are 2, 5, 11, 373. Prime factorization of 41030 in exponential form is:

41030 = 21 × 51 × 111 × 3731

Prime Factorization of 41035

Prime factors of 41035 are 5, 29, 283. Prime factorization of 41035 in exponential form is:

41035 = 51 × 291 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 41030 and 41035.

LCM(41030,41035) = 21 × 51 × 111 × 3731 × 291 × 2831
LCM(41030,41035) = 336733210