What is the Least Common Multiple of 67771 and 67780?

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 67771 and 67780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67771 and 67780, than apply into the LCM equation.

GCF(67771,67780) = 1
LCM(67771,67780) = ( 67771 × 67780) / 1
LCM(67771,67780) = 4593518380 / 1
LCM(67771,67780) = 4593518380

Least Common Multiple (LCM) of 67771 and 67780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67771 and 67780. First we will calculate the prime factors of 67771 and 67780.

Prime Factorization of 67771

Prime Factorization of 67780

Now multiplying the highest exponent prime factors to calculate the LCM of 67771 and 67780.

LCM(67771,67780) = 11¹ × 61¹ × 101¹ × 2² × 5¹ × 3389¹
LCM(67771,67780) = 4593518380