GCF and LCM Calculator Logo

What is the Least Common Multiple of 68954 and 68960?

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 68954 and 68960 is 2377533920.

LCM(68954,68960) = 2377533920

LCM Calculator and
and

Least Common Multiple of 68954 and 68960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68954 and 68960, than apply into the LCM equation.

GCF(68954,68960) = 2
LCM(68954,68960) = ( 68954 × 68960) / 2
LCM(68954,68960) = 4755067840 / 2
LCM(68954,68960) = 2377533920

Least Common Multiple (LCM) of 68954 and 68960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68954 and 68960. First we will calculate the prime factors of 68954 and 68960.

Prime Factorization of 68954

Prime factors of 68954 are 2, 23, 1499. Prime factorization of 68954 in exponential form is:

68954 = 21 × 231 × 14991

Prime Factorization of 68960

Prime factors of 68960 are 2, 5, 431. Prime factorization of 68960 in exponential form is:

68960 = 25 × 51 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 68954 and 68960.

LCM(68954,68960) = 25 × 231 × 14991 × 51 × 4311
LCM(68954,68960) = 2377533920