What is the Least Common Multiple of 77814 and 77826?

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 of 77814 and 77826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77814 and 77826, than apply into the LCM equation.

GCF(77814,77826) = 6
LCM(77814,77826) = ( 77814 × 77826) / 6
LCM(77814,77826) = 6055952364 / 6
LCM(77814,77826) = 1009325394

Least Common Multiple (LCM) of 77814 and 77826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77814 and 77826. First we will calculate the prime factors of 77814 and 77826.

Prime Factorization of 77814

Prime Factorization of 77826

Now multiplying the highest exponent prime factors to calculate the LCM of 77814 and 77826.

LCM(77814,77826) = 2¹ × 3³ × 11¹ × 131¹ × 7¹ × 17¹ × 109¹
LCM(77814,77826) = 1009325394