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What is the Least Common Multiple of 3658 and 3678?

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 3658 and 3678 is 6727062.

LCM(3658,3678) = 6727062

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Least Common Multiple of 3658 and 3678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3658 and 3678, than apply into the LCM equation.

GCF(3658,3678) = 2
LCM(3658,3678) = ( 3658 × 3678) / 2
LCM(3658,3678) = 13454124 / 2
LCM(3658,3678) = 6727062

Least Common Multiple (LCM) of 3658 and 3678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3658 and 3678. First we will calculate the prime factors of 3658 and 3678.

Prime Factorization of 3658

Prime factors of 3658 are 2, 31, 59. Prime factorization of 3658 in exponential form is:

3658 = 21 × 311 × 591

Prime Factorization of 3678

Prime factors of 3678 are 2, 3, 613. Prime factorization of 3678 in exponential form is:

3678 = 21 × 31 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 3658 and 3678.

LCM(3658,3678) = 21 × 311 × 591 × 31 × 6131
LCM(3658,3678) = 6727062