What is the Least Common Multiple of 52760 and 52767?

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 52767 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 52767, than apply into the LCM equation.

GCF(52760,52767) = 1
LCM(52760,52767) = ( 52760 × 52767) / 1
LCM(52760,52767) = 2783986920 / 1
LCM(52760,52767) = 2783986920

Least Common Multiple (LCM) of 52760 and 52767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52760 and 52767. First we will calculate the prime factors of 52760 and 52767.

Prime Factorization of 52760

Prime Factorization of 52767

Now multiplying the highest exponent prime factors to calculate the LCM of 52760 and 52767.

LCM(52760,52767) = 2³ × 5¹ × 1319¹ × 3² × 11¹ × 13¹ × 41¹
LCM(52760,52767) = 2783986920