What is the Least Common Multiple of 68565 and 68584?

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 68565 and 68584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68565 and 68584, than apply into the LCM equation.

GCF(68565,68584) = 1
LCM(68565,68584) = ( 68565 × 68584) / 1
LCM(68565,68584) = 4702461960 / 1
LCM(68565,68584) = 4702461960

Least Common Multiple (LCM) of 68565 and 68584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68565 and 68584. First we will calculate the prime factors of 68565 and 68584.

Prime Factorization of 68565

Prime Factorization of 68584

Now multiplying the highest exponent prime factors to calculate the LCM of 68565 and 68584.

LCM(68565,68584) = 3¹ × 5¹ × 7¹ × 653¹ × 2³ × 8573¹
LCM(68565,68584) = 4702461960