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What is the Least Common Multiple of 39602 and 39611?

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 39602 and 39611 is 1568674822.

LCM(39602,39611) = 1568674822

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Least Common Multiple of 39602 and 39611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39602 and 39611, than apply into the LCM equation.

GCF(39602,39611) = 1
LCM(39602,39611) = ( 39602 × 39611) / 1
LCM(39602,39611) = 1568674822 / 1
LCM(39602,39611) = 1568674822

Least Common Multiple (LCM) of 39602 and 39611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39602 and 39611. First we will calculate the prime factors of 39602 and 39611.

Prime Factorization of 39602

Prime factors of 39602 are 2, 19801. Prime factorization of 39602 in exponential form is:

39602 = 21 × 198011

Prime Factorization of 39611

Prime factors of 39611 are 11, 13, 277. Prime factorization of 39611 in exponential form is:

39611 = 111 × 131 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 39602 and 39611.

LCM(39602,39611) = 21 × 198011 × 111 × 131 × 2771
LCM(39602,39611) = 1568674822