What is the Least Common Multiple of 52779 and 52799?

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 52779 and 52799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52779 and 52799, than apply into the LCM equation.

GCF(52779,52799) = 1
LCM(52779,52799) = ( 52779 × 52799) / 1
LCM(52779,52799) = 2786678421 / 1
LCM(52779,52799) = 2786678421

Least Common Multiple (LCM) of 52779 and 52799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52779 and 52799. First we will calculate the prime factors of 52779 and 52799.

Prime Factorization of 52779

Prime Factorization of 52799

Now multiplying the highest exponent prime factors to calculate the LCM of 52779 and 52799.

LCM(52779,52799) = 3¹ × 73¹ × 241¹ × 37¹ × 1427¹
LCM(52779,52799) = 2786678421