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What is the Least Common Multiple of 3698 and 3708?

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 3698 and 3708 is 6856092.

LCM(3698,3708) = 6856092

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Least Common Multiple of 3698 and 3708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3698 and 3708, than apply into the LCM equation.

GCF(3698,3708) = 2
LCM(3698,3708) = ( 3698 × 3708) / 2
LCM(3698,3708) = 13712184 / 2
LCM(3698,3708) = 6856092

Least Common Multiple (LCM) of 3698 and 3708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3698 and 3708. First we will calculate the prime factors of 3698 and 3708.

Prime Factorization of 3698

Prime factors of 3698 are 2, 43. Prime factorization of 3698 in exponential form is:

3698 = 21 × 432

Prime Factorization of 3708

Prime factors of 3708 are 2, 3, 103. Prime factorization of 3708 in exponential form is:

3708 = 22 × 32 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 3698 and 3708.

LCM(3698,3708) = 22 × 432 × 32 × 1031
LCM(3698,3708) = 6856092