GCF and LCM Calculator Logo

What is the Least Common Multiple of 64820 and 64824?

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 64820 and 64824 is 1050472920.

LCM(64820,64824) = 1050472920

LCM Calculator and
and

Least Common Multiple of 64820 and 64824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64820 and 64824, than apply into the LCM equation.

GCF(64820,64824) = 4
LCM(64820,64824) = ( 64820 × 64824) / 4
LCM(64820,64824) = 4201891680 / 4
LCM(64820,64824) = 1050472920

Least Common Multiple (LCM) of 64820 and 64824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64820 and 64824. First we will calculate the prime factors of 64820 and 64824.

Prime Factorization of 64820

Prime factors of 64820 are 2, 5, 7, 463. Prime factorization of 64820 in exponential form is:

64820 = 22 × 51 × 71 × 4631

Prime Factorization of 64824

Prime factors of 64824 are 2, 3, 37, 73. Prime factorization of 64824 in exponential form is:

64824 = 23 × 31 × 371 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 64820 and 64824.

LCM(64820,64824) = 23 × 51 × 71 × 4631 × 31 × 371 × 731
LCM(64820,64824) = 1050472920