GCF and LCM Calculator Logo

What is the Least Common Multiple of 68714 and 68730?

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 68714 and 68730 is 2361356610.

LCM(68714,68730) = 2361356610

LCM Calculator and
and

Least Common Multiple of 68714 and 68730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68714 and 68730, than apply into the LCM equation.

GCF(68714,68730) = 2
LCM(68714,68730) = ( 68714 × 68730) / 2
LCM(68714,68730) = 4722713220 / 2
LCM(68714,68730) = 2361356610

Least Common Multiple (LCM) of 68714 and 68730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68714 and 68730. First we will calculate the prime factors of 68714 and 68730.

Prime Factorization of 68714

Prime factors of 68714 are 2, 17, 43, 47. Prime factorization of 68714 in exponential form is:

68714 = 21 × 171 × 431 × 471

Prime Factorization of 68730

Prime factors of 68730 are 2, 3, 5, 29, 79. Prime factorization of 68730 in exponential form is:

68730 = 21 × 31 × 51 × 291 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 68714 and 68730.

LCM(68714,68730) = 21 × 171 × 431 × 471 × 31 × 51 × 291 × 791
LCM(68714,68730) = 2361356610