What is the Least Common Multiple of 68493 and 68505?

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 68493 and 68505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68493 and 68505, than apply into the LCM equation.

GCF(68493,68505) = 3
LCM(68493,68505) = ( 68493 × 68505) / 3
LCM(68493,68505) = 4692112965 / 3
LCM(68493,68505) = 1564037655

Least Common Multiple (LCM) of 68493 and 68505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68493 and 68505. First we will calculate the prime factors of 68493 and 68505.

Prime Factorization of 68493

Prime Factorization of 68505

Now multiplying the highest exponent prime factors to calculate the LCM of 68493 and 68505.

LCM(68493,68505) = 3¹ × 17² × 79¹ × 5¹ × 4567¹
LCM(68493,68505) = 1564037655