What is the Least Common Multiple of 77091 and 77106?

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 77091 and 77106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77091 and 77106, than apply into the LCM equation.

GCF(77091,77106) = 3
LCM(77091,77106) = ( 77091 × 77106) / 3
LCM(77091,77106) = 5944178646 / 3
LCM(77091,77106) = 1981392882

Least Common Multiple (LCM) of 77091 and 77106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77091 and 77106. First we will calculate the prime factors of 77091 and 77106.

Prime Factorization of 77091

Prime Factorization of 77106

Now multiplying the highest exponent prime factors to calculate the LCM of 77091 and 77106.

LCM(77091,77106) = 3¹ × 7¹ × 3671¹ × 2¹ × 71¹ × 181¹
LCM(77091,77106) = 1981392882