What is the Least Common Multiple of 67779 and 67799?

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 67779 and 67799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67779 and 67799, than apply into the LCM equation.

GCF(67779,67799) = 1
LCM(67779,67799) = ( 67779 × 67799) / 1
LCM(67779,67799) = 4595348421 / 1
LCM(67779,67799) = 4595348421

Least Common Multiple (LCM) of 67779 and 67799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67779 and 67799. First we will calculate the prime factors of 67779 and 67799.

Prime Factorization of 67779

Prime Factorization of 67799

Now multiplying the highest exponent prime factors to calculate the LCM of 67779 and 67799.

LCM(67779,67799) = 3² × 17¹ × 443¹ × 151¹ × 449¹
LCM(67779,67799) = 4595348421