What is the Least Common Multiple of 52780 and 52796?

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 52780 and 52796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52780 and 52796, than apply into the LCM equation.

GCF(52780,52796) = 4
LCM(52780,52796) = ( 52780 × 52796) / 4
LCM(52780,52796) = 2786572880 / 4
LCM(52780,52796) = 696643220

Least Common Multiple (LCM) of 52780 and 52796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52780 and 52796. First we will calculate the prime factors of 52780 and 52796.

Prime Factorization of 52780

Prime Factorization of 52796

Now multiplying the highest exponent prime factors to calculate the LCM of 52780 and 52796.

LCM(52780,52796) = 2² × 5¹ × 7¹ × 13¹ × 29¹ × 67¹ × 197¹
LCM(52780,52796) = 696643220