What is the Least Common Multiple of 67485 and 67503?

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 67485 and 67503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67485 and 67503, than apply into the LCM equation.

GCF(67485,67503) = 3
LCM(67485,67503) = ( 67485 × 67503) / 3
LCM(67485,67503) = 4555439955 / 3
LCM(67485,67503) = 1518479985

Least Common Multiple (LCM) of 67485 and 67503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67485 and 67503. First we will calculate the prime factors of 67485 and 67503.

Prime Factorization of 67485

Prime Factorization of 67503

Now multiplying the highest exponent prime factors to calculate the LCM of 67485 and 67503.

LCM(67485,67503) = 3¹ × 5¹ × 11¹ × 409¹ × 22501¹
LCM(67485,67503) = 1518479985