What is the Least Common Multiple of 41548 and 41565?

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 41548 and 41565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41548 and 41565, than apply into the LCM equation.

GCF(41548,41565) = 17
LCM(41548,41565) = ( 41548 × 41565) / 17
LCM(41548,41565) = 1726942620 / 17
LCM(41548,41565) = 101584860

Least Common Multiple (LCM) of 41548 and 41565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41548 and 41565. First we will calculate the prime factors of 41548 and 41565.

Prime Factorization of 41548

Prime Factorization of 41565

Now multiplying the highest exponent prime factors to calculate the LCM of 41548 and 41565.

LCM(41548,41565) = 2² × 13¹ × 17¹ × 47¹ × 3¹ × 5¹ × 163¹
LCM(41548,41565) = 101584860