What is the Least Common Multiple of 52760 and 52774?

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 52760 and 52774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52760 and 52774, than apply into the LCM equation.

GCF(52760,52774) = 2
LCM(52760,52774) = ( 52760 × 52774) / 2
LCM(52760,52774) = 2784356240 / 2
LCM(52760,52774) = 1392178120

Least Common Multiple (LCM) of 52760 and 52774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52760 and 52774. First we will calculate the prime factors of 52760 and 52774.

Prime Factorization of 52760

Prime Factorization of 52774

Now multiplying the highest exponent prime factors to calculate the LCM of 52760 and 52774.

LCM(52760,52774) = 2³ × 5¹ × 1319¹ × 26387¹
LCM(52760,52774) = 1392178120