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What is the Least Common Multiple of 3764 and 3772?

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 3764 and 3772 is 3549452.

LCM(3764,3772) = 3549452

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Least Common Multiple of 3764 and 3772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3764 and 3772, than apply into the LCM equation.

GCF(3764,3772) = 4
LCM(3764,3772) = ( 3764 × 3772) / 4
LCM(3764,3772) = 14197808 / 4
LCM(3764,3772) = 3549452

Least Common Multiple (LCM) of 3764 and 3772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3764 and 3772. First we will calculate the prime factors of 3764 and 3772.

Prime Factorization of 3764

Prime factors of 3764 are 2, 941. Prime factorization of 3764 in exponential form is:

3764 = 22 × 9411

Prime Factorization of 3772

Prime factors of 3772 are 2, 23, 41. Prime factorization of 3772 in exponential form is:

3772 = 22 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 3764 and 3772.

LCM(3764,3772) = 22 × 9411 × 231 × 411
LCM(3764,3772) = 3549452