What is the Least Common Multiple of 52760 and 52770?

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 52770 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 52770, than apply into the LCM equation.

GCF(52760,52770) = 10
LCM(52760,52770) = ( 52760 × 52770) / 10
LCM(52760,52770) = 2784145200 / 10
LCM(52760,52770) = 278414520

Least Common Multiple (LCM) of 52760 and 52770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52760 and 52770. First we will calculate the prime factors of 52760 and 52770.

Prime Factorization of 52760

Prime Factorization of 52770

Now multiplying the highest exponent prime factors to calculate the LCM of 52760 and 52770.

LCM(52760,52770) = 2³ × 5¹ × 1319¹ × 3¹ × 1759¹
LCM(52760,52770) = 278414520