GCF and LCM Calculator Logo

What is the Least Common Multiple of 84372 and 84383?

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 84372 and 84383 is 7119562476.

LCM(84372,84383) = 7119562476

LCM Calculator and
and

Least Common Multiple of 84372 and 84383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84372 and 84383, than apply into the LCM equation.

GCF(84372,84383) = 1
LCM(84372,84383) = ( 84372 × 84383) / 1
LCM(84372,84383) = 7119562476 / 1
LCM(84372,84383) = 7119562476

Least Common Multiple (LCM) of 84372 and 84383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84372 and 84383. First we will calculate the prime factors of 84372 and 84383.

Prime Factorization of 84372

Prime factors of 84372 are 2, 3, 79, 89. Prime factorization of 84372 in exponential form is:

84372 = 22 × 31 × 791 × 891

Prime Factorization of 84383

Prime factors of 84383 are 13, 6491. Prime factorization of 84383 in exponential form is:

84383 = 131 × 64911

Now multiplying the highest exponent prime factors to calculate the LCM of 84372 and 84383.

LCM(84372,84383) = 22 × 31 × 791 × 891 × 131 × 64911
LCM(84372,84383) = 7119562476