GCF and LCM Calculator Logo

What is the Least Common Multiple of 93812 and 93820?

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 93812 and 93820 is 2200360460.

LCM(93812,93820) = 2200360460

LCM Calculator and
and

Least Common Multiple of 93812 and 93820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93812 and 93820, than apply into the LCM equation.

GCF(93812,93820) = 4
LCM(93812,93820) = ( 93812 × 93820) / 4
LCM(93812,93820) = 8801441840 / 4
LCM(93812,93820) = 2200360460

Least Common Multiple (LCM) of 93812 and 93820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93812 and 93820. First we will calculate the prime factors of 93812 and 93820.

Prime Factorization of 93812

Prime factors of 93812 are 2, 47, 499. Prime factorization of 93812 in exponential form is:

93812 = 22 × 471 × 4991

Prime Factorization of 93820

Prime factors of 93820 are 2, 5, 4691. Prime factorization of 93820 in exponential form is:

93820 = 22 × 51 × 46911

Now multiplying the highest exponent prime factors to calculate the LCM of 93812 and 93820.

LCM(93812,93820) = 22 × 471 × 4991 × 51 × 46911
LCM(93812,93820) = 2200360460