GCF and LCM Calculator Logo

What is the Least Common Multiple of 68334 and 68350?

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 68334 and 68350 is 2335314450.

LCM(68334,68350) = 2335314450

LCM Calculator and
and

Least Common Multiple of 68334 and 68350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68334 and 68350, than apply into the LCM equation.

GCF(68334,68350) = 2
LCM(68334,68350) = ( 68334 × 68350) / 2
LCM(68334,68350) = 4670628900 / 2
LCM(68334,68350) = 2335314450

Least Common Multiple (LCM) of 68334 and 68350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68334 and 68350. First we will calculate the prime factors of 68334 and 68350.

Prime Factorization of 68334

Prime factors of 68334 are 2, 3, 7, 1627. Prime factorization of 68334 in exponential form is:

68334 = 21 × 31 × 71 × 16271

Prime Factorization of 68350

Prime factors of 68350 are 2, 5, 1367. Prime factorization of 68350 in exponential form is:

68350 = 21 × 52 × 13671

Now multiplying the highest exponent prime factors to calculate the LCM of 68334 and 68350.

LCM(68334,68350) = 21 × 31 × 71 × 16271 × 52 × 13671
LCM(68334,68350) = 2335314450