What is the Least Common Multiple of 68573 and 68581?

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 68573 and 68581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68573 and 68581, than apply into the LCM equation.

GCF(68573,68581) = 1
LCM(68573,68581) = ( 68573 × 68581) / 1
LCM(68573,68581) = 4702804913 / 1
LCM(68573,68581) = 4702804913

Least Common Multiple (LCM) of 68573 and 68581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68573 and 68581. First we will calculate the prime factors of 68573 and 68581.

Prime Factorization of 68573

Prime Factorization of 68581

Now multiplying the highest exponent prime factors to calculate the LCM of 68573 and 68581.

LCM(68573,68581) = 47¹ × 1459¹ × 68581¹
LCM(68573,68581) = 4702804913