What is the Least Common Multiple of 67485 and 67496?

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 67496 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 67496, than apply into the LCM equation.

GCF(67485,67496) = 11
LCM(67485,67496) = ( 67485 × 67496) / 11
LCM(67485,67496) = 4554967560 / 11
LCM(67485,67496) = 414087960

Least Common Multiple (LCM) of 67485 and 67496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67485 and 67496. First we will calculate the prime factors of 67485 and 67496.

Prime Factorization of 67485

Prime Factorization of 67496

Now multiplying the highest exponent prime factors to calculate the LCM of 67485 and 67496.

LCM(67485,67496) = 3¹ × 5¹ × 11¹ × 409¹ × 2³ × 13¹ × 59¹
LCM(67485,67496) = 414087960