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What is the Least Common Multiple of 77822 and 77831?

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 77822 and 77831 is 6056964082.

LCM(77822,77831) = 6056964082

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Least Common Multiple of 77822 and 77831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77822 and 77831, than apply into the LCM equation.

GCF(77822,77831) = 1
LCM(77822,77831) = ( 77822 × 77831) / 1
LCM(77822,77831) = 6056964082 / 1
LCM(77822,77831) = 6056964082

Least Common Multiple (LCM) of 77822 and 77831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77822 and 77831. First we will calculate the prime factors of 77822 and 77831.

Prime Factorization of 77822

Prime factors of 77822 are 2, 167, 233. Prime factorization of 77822 in exponential form is:

77822 = 21 × 1671 × 2331

Prime Factorization of 77831

Prime factors of 77831 are 13, 5987. Prime factorization of 77831 in exponential form is:

77831 = 131 × 59871

Now multiplying the highest exponent prime factors to calculate the LCM of 77822 and 77831.

LCM(77822,77831) = 21 × 1671 × 2331 × 131 × 59871
LCM(77822,77831) = 6056964082