What is the Least Common Multiple of 48546 and 48560?

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 48546 and 48560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48546 and 48560, than apply into the LCM equation.

GCF(48546,48560) = 2
LCM(48546,48560) = ( 48546 × 48560) / 2
LCM(48546,48560) = 2357393760 / 2
LCM(48546,48560) = 1178696880

Least Common Multiple (LCM) of 48546 and 48560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48546 and 48560. First we will calculate the prime factors of 48546 and 48560.

Prime Factorization of 48546

Prime Factorization of 48560

Now multiplying the highest exponent prime factors to calculate the LCM of 48546 and 48560.

LCM(48546,48560) = 2⁴ × 3³ × 29¹ × 31¹ × 5¹ × 607¹
LCM(48546,48560) = 1178696880