What is the Least Common Multiple of 52760 and 52779?

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 52779 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 52779, than apply into the LCM equation.

GCF(52760,52779) = 1
LCM(52760,52779) = ( 52760 × 52779) / 1
LCM(52760,52779) = 2784620040 / 1
LCM(52760,52779) = 2784620040

Least Common Multiple (LCM) of 52760 and 52779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52760 and 52779. First we will calculate the prime factors of 52760 and 52779.

Prime Factorization of 52760

Prime Factorization of 52779

Now multiplying the highest exponent prime factors to calculate the LCM of 52760 and 52779.

LCM(52760,52779) = 2³ × 5¹ × 1319¹ × 3¹ × 73¹ × 241¹
LCM(52760,52779) = 2784620040