What is the Least Common Multiple of 67775 and 67787?

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 67775 and 67787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67775 and 67787, than apply into the LCM equation.

GCF(67775,67787) = 1
LCM(67775,67787) = ( 67775 × 67787) / 1
LCM(67775,67787) = 4594263925 / 1
LCM(67775,67787) = 4594263925

Least Common Multiple (LCM) of 67775 and 67787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67775 and 67787. First we will calculate the prime factors of 67775 and 67787.

Prime Factorization of 67775

Prime Factorization of 67787

Now multiplying the highest exponent prime factors to calculate the LCM of 67775 and 67787.

LCM(67775,67787) = 5² × 2711¹ × 53¹ × 1279¹
LCM(67775,67787) = 4594263925