What is the Least Common Multiple of 67546 and 67563?

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 67546 and 67563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67546 and 67563, than apply into the LCM equation.

GCF(67546,67563) = 1
LCM(67546,67563) = ( 67546 × 67563) / 1
LCM(67546,67563) = 4563610398 / 1
LCM(67546,67563) = 4563610398

Least Common Multiple (LCM) of 67546 and 67563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67546 and 67563. First we will calculate the prime factors of 67546 and 67563.

Prime Factorization of 67546

Prime Factorization of 67563

Now multiplying the highest exponent prime factors to calculate the LCM of 67546 and 67563.

LCM(67546,67563) = 2¹ × 33773¹ × 3² × 7507¹
LCM(67546,67563) = 4563610398