GCF and LCM Calculator Logo

What is the Least Common Multiple of 67926 and 67930?

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 67926 and 67930 is 2307106590.

LCM(67926,67930) = 2307106590

LCM Calculator and
and

Least Common Multiple of 67926 and 67930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67926 and 67930, than apply into the LCM equation.

GCF(67926,67930) = 2
LCM(67926,67930) = ( 67926 × 67930) / 2
LCM(67926,67930) = 4614213180 / 2
LCM(67926,67930) = 2307106590

Least Common Multiple (LCM) of 67926 and 67930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67926 and 67930. First we will calculate the prime factors of 67926 and 67930.

Prime Factorization of 67926

Prime factors of 67926 are 2, 3, 11321. Prime factorization of 67926 in exponential form is:

67926 = 21 × 31 × 113211

Prime Factorization of 67930

Prime factors of 67930 are 2, 5, 6793. Prime factorization of 67930 in exponential form is:

67930 = 21 × 51 × 67931

Now multiplying the highest exponent prime factors to calculate the LCM of 67926 and 67930.

LCM(67926,67930) = 21 × 31 × 113211 × 51 × 67931
LCM(67926,67930) = 2307106590