What is the Least Common Multiple of 67548 and 67565?

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 67548 and 67565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67548 and 67565, than apply into the LCM equation.

GCF(67548,67565) = 1
LCM(67548,67565) = ( 67548 × 67565) / 1
LCM(67548,67565) = 4563880620 / 1
LCM(67548,67565) = 4563880620

Least Common Multiple (LCM) of 67548 and 67565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67548 and 67565. First we will calculate the prime factors of 67548 and 67565.

Prime Factorization of 67548

Prime Factorization of 67565

Now multiplying the highest exponent prime factors to calculate the LCM of 67548 and 67565.

LCM(67548,67565) = 2² × 3¹ × 13¹ × 433¹ × 5¹ × 13513¹
LCM(67548,67565) = 4563880620