What is the Least Common Multiple of 52769 and 52780?

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 52769 and 52780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52769 and 52780, than apply into the LCM equation.

GCF(52769,52780) = 1
LCM(52769,52780) = ( 52769 × 52780) / 1
LCM(52769,52780) = 2785147820 / 1
LCM(52769,52780) = 2785147820

Least Common Multiple (LCM) of 52769 and 52780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52769 and 52780. First we will calculate the prime factors of 52769 and 52780.

Prime Factorization of 52769

Prime Factorization of 52780

Now multiplying the highest exponent prime factors to calculate the LCM of 52769 and 52780.

LCM(52769,52780) = 52769¹ × 2² × 5¹ × 7¹ × 13¹ × 29¹
LCM(52769,52780) = 2785147820