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What is the Least Common Multiple of 40601 and 40611?

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 40601 and 40611 is 1648847211.

LCM(40601,40611) = 1648847211

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Least Common Multiple of 40601 and 40611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40601 and 40611, than apply into the LCM equation.

GCF(40601,40611) = 1
LCM(40601,40611) = ( 40601 × 40611) / 1
LCM(40601,40611) = 1648847211 / 1
LCM(40601,40611) = 1648847211

Least Common Multiple (LCM) of 40601 and 40611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40601 and 40611. First we will calculate the prime factors of 40601 and 40611.

Prime Factorization of 40601

Prime factors of 40601 are 11, 3691. Prime factorization of 40601 in exponential form is:

40601 = 111 × 36911

Prime Factorization of 40611

Prime factors of 40611 are 3, 13537. Prime factorization of 40611 in exponential form is:

40611 = 31 × 135371

Now multiplying the highest exponent prime factors to calculate the LCM of 40601 and 40611.

LCM(40601,40611) = 111 × 36911 × 31 × 135371
LCM(40601,40611) = 1648847211