What is the Least Common Multiple of 77778 and 77787?

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 77778 and 77787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77778 and 77787, than apply into the LCM equation.

GCF(77778,77787) = 9
LCM(77778,77787) = ( 77778 × 77787) / 9
LCM(77778,77787) = 6050117286 / 9
LCM(77778,77787) = 672235254

Least Common Multiple (LCM) of 77778 and 77787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77778 and 77787. First we will calculate the prime factors of 77778 and 77787.

Prime Factorization of 77778

Prime Factorization of 77787

Now multiplying the highest exponent prime factors to calculate the LCM of 77778 and 77787.

LCM(77778,77787) = 2¹ × 3³ × 29¹ × 149¹ × 43¹ × 67¹
LCM(77778,77787) = 672235254