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What is the Least Common Multiple of 3822 and 3835?

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 3822 and 3835 is 1127490.

LCM(3822,3835) = 1127490

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Least Common Multiple of 3822 and 3835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3822 and 3835, than apply into the LCM equation.

GCF(3822,3835) = 13
LCM(3822,3835) = ( 3822 × 3835) / 13
LCM(3822,3835) = 14657370 / 13
LCM(3822,3835) = 1127490

Least Common Multiple (LCM) of 3822 and 3835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3822 and 3835. First we will calculate the prime factors of 3822 and 3835.

Prime Factorization of 3822

Prime factors of 3822 are 2, 3, 7, 13. Prime factorization of 3822 in exponential form is:

3822 = 21 × 31 × 72 × 131

Prime Factorization of 3835

Prime factors of 3835 are 5, 13, 59. Prime factorization of 3835 in exponential form is:

3835 = 51 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 3822 and 3835.

LCM(3822,3835) = 21 × 31 × 72 × 131 × 51 × 591
LCM(3822,3835) = 1127490