GCF and LCM Calculator Logo

What is the Least Common Multiple of 67550 and 67562?

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 67550 and 67562 is 2281906550.

LCM(67550,67562) = 2281906550

LCM Calculator and
and

Least Common Multiple of 67550 and 67562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67550 and 67562, than apply into the LCM equation.

GCF(67550,67562) = 2
LCM(67550,67562) = ( 67550 × 67562) / 2
LCM(67550,67562) = 4563813100 / 2
LCM(67550,67562) = 2281906550

Least Common Multiple (LCM) of 67550 and 67562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67550 and 67562. First we will calculate the prime factors of 67550 and 67562.

Prime Factorization of 67550

Prime factors of 67550 are 2, 5, 7, 193. Prime factorization of 67550 in exponential form is:

67550 = 21 × 52 × 71 × 1931

Prime Factorization of 67562

Prime factors of 67562 are 2, 11, 37, 83. Prime factorization of 67562 in exponential form is:

67562 = 21 × 111 × 371 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 67550 and 67562.

LCM(67550,67562) = 21 × 52 × 71 × 1931 × 111 × 371 × 831
LCM(67550,67562) = 2281906550