What is the Least Common Multiple of 48540 and 48545?

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 48540 and 48545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48540 and 48545, than apply into the LCM equation.

GCF(48540,48545) = 5
LCM(48540,48545) = ( 48540 × 48545) / 5
LCM(48540,48545) = 2356374300 / 5
LCM(48540,48545) = 471274860

Least Common Multiple (LCM) of 48540 and 48545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48540 and 48545. First we will calculate the prime factors of 48540 and 48545.

Prime Factorization of 48540

Prime Factorization of 48545

Now multiplying the highest exponent prime factors to calculate the LCM of 48540 and 48545.

LCM(48540,48545) = 2² × 3¹ × 5¹ × 809¹ × 7¹ × 19¹ × 73¹
LCM(48540,48545) = 471274860