GCF and LCM Calculator Logo

What is the Least Common Multiple of 68542 and 68561?

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 (LCM) of 68542 and 68561 is 4699308062.

LCM(68542,68561) = 4699308062

LCM Calculator and
and

Least Common Multiple of 68542 and 68561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68542 and 68561, than apply into the LCM equation.

GCF(68542,68561) = 1
LCM(68542,68561) = ( 68542 × 68561) / 1
LCM(68542,68561) = 4699308062 / 1
LCM(68542,68561) = 4699308062

Least Common Multiple (LCM) of 68542 and 68561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68542 and 68561. First we will calculate the prime factors of 68542 and 68561.

Prime Factorization of 68542

Prime factors of 68542 are 2, 43, 797. Prime factorization of 68542 in exponential form is:

68542 = 21 × 431 × 7971

Prime Factorization of 68561

Prime factors of 68561 are 17, 37, 109. Prime factorization of 68561 in exponential form is:

68561 = 171 × 371 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 68542 and 68561.

LCM(68542,68561) = 21 × 431 × 7971 × 171 × 371 × 1091
LCM(68542,68561) = 4699308062