What is the Least Common Multiple of 68561 and 68577?

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 68561 and 68577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68561 and 68577, than apply into the LCM equation.

GCF(68561,68577) = 1
LCM(68561,68577) = ( 68561 × 68577) / 1
LCM(68561,68577) = 4701707697 / 1
LCM(68561,68577) = 4701707697

Least Common Multiple (LCM) of 68561 and 68577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68561 and 68577. First we will calculate the prime factors of 68561 and 68577.

Prime Factorization of 68561

Prime Factorization of 68577

Now multiplying the highest exponent prime factors to calculate the LCM of 68561 and 68577.

LCM(68561,68577) = 17¹ × 37¹ × 109¹ × 3¹ × 22859¹
LCM(68561,68577) = 4701707697