GCF and LCM Calculator Logo

What is the Least Common Multiple of 68145 and 68164?

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 68145 and 68164 is 4645035780.

LCM(68145,68164) = 4645035780

LCM Calculator and
and

Least Common Multiple of 68145 and 68164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68145 and 68164, than apply into the LCM equation.

GCF(68145,68164) = 1
LCM(68145,68164) = ( 68145 × 68164) / 1
LCM(68145,68164) = 4645035780 / 1
LCM(68145,68164) = 4645035780

Least Common Multiple (LCM) of 68145 and 68164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68145 and 68164. First we will calculate the prime factors of 68145 and 68164.

Prime Factorization of 68145

Prime factors of 68145 are 3, 5, 7, 11, 59. Prime factorization of 68145 in exponential form is:

68145 = 31 × 51 × 71 × 111 × 591

Prime Factorization of 68164

Prime factors of 68164 are 2, 17041. Prime factorization of 68164 in exponential form is:

68164 = 22 × 170411

Now multiplying the highest exponent prime factors to calculate the LCM of 68145 and 68164.

LCM(68145,68164) = 31 × 51 × 71 × 111 × 591 × 22 × 170411
LCM(68145,68164) = 4645035780