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What is the Least Common Multiple of 3658 and 3674?

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 3674 is 6719746.

LCM(3658,3674) = 6719746

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Least Common Multiple of 3658 and 3674 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 3674, than apply into the LCM equation.

GCF(3658,3674) = 2
LCM(3658,3674) = ( 3658 × 3674) / 2
LCM(3658,3674) = 13439492 / 2
LCM(3658,3674) = 6719746

Least Common Multiple (LCM) of 3658 and 3674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3658 and 3674. First we will calculate the prime factors of 3658 and 3674.

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 3674

Prime factors of 3674 are 2, 11, 167. Prime factorization of 3674 in exponential form is:

3674 = 21 × 111 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 3658 and 3674.

LCM(3658,3674) = 21 × 311 × 591 × 111 × 1671
LCM(3658,3674) = 6719746