What is the Least Common Multiple of 67485 and 67499?

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 67499 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 67499, than apply into the LCM equation.

GCF(67485,67499) = 1
LCM(67485,67499) = ( 67485 × 67499) / 1
LCM(67485,67499) = 4555170015 / 1
LCM(67485,67499) = 4555170015

Least Common Multiple (LCM) of 67485 and 67499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67485 and 67499. First we will calculate the prime factors of 67485 and 67499.

Prime Factorization of 67485

Prime Factorization of 67499

Now multiplying the highest exponent prime factors to calculate the LCM of 67485 and 67499.

LCM(67485,67499) = 3¹ × 5¹ × 11¹ × 409¹ × 67499¹
LCM(67485,67499) = 4555170015