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What is the Least Common Multiple of 802 and 812?

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 802 and 812 is 325612.

LCM(802,812) = 325612

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Least Common Multiple of 802 and 812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 802 and 812, than apply into the LCM equation.

GCF(802,812) = 2
LCM(802,812) = ( 802 × 812) / 2
LCM(802,812) = 651224 / 2
LCM(802,812) = 325612

Least Common Multiple (LCM) of 802 and 812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 802 and 812. First we will calculate the prime factors of 802 and 812.

Prime Factorization of 802

Prime factors of 802 are 2, 401. Prime factorization of 802 in exponential form is:

802 = 21 × 4011

Prime Factorization of 812

Prime factors of 812 are 2, 7, 29. Prime factorization of 812 in exponential form is:

812 = 22 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 802 and 812.

LCM(802,812) = 22 × 4011 × 71 × 291
LCM(802,812) = 325612