GCF and LCM Calculator Logo

What is the Least Common Multiple of 64953 and 64960?

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 64953 and 64960 is 602763840.

LCM(64953,64960) = 602763840

LCM Calculator and
and

Least Common Multiple of 64953 and 64960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64953 and 64960, than apply into the LCM equation.

GCF(64953,64960) = 7
LCM(64953,64960) = ( 64953 × 64960) / 7
LCM(64953,64960) = 4219346880 / 7
LCM(64953,64960) = 602763840

Least Common Multiple (LCM) of 64953 and 64960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64953 and 64960. First we will calculate the prime factors of 64953 and 64960.

Prime Factorization of 64953

Prime factors of 64953 are 3, 7, 1031. Prime factorization of 64953 in exponential form is:

64953 = 32 × 71 × 10311

Prime Factorization of 64960

Prime factors of 64960 are 2, 5, 7, 29. Prime factorization of 64960 in exponential form is:

64960 = 26 × 51 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 64953 and 64960.

LCM(64953,64960) = 32 × 71 × 10311 × 26 × 51 × 291
LCM(64953,64960) = 602763840