GCF and LCM Calculator Logo

What is the Least Common Multiple of 62410 and 62420?

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 62410 and 62420 is 389563220.

LCM(62410,62420) = 389563220

LCM Calculator and
and

Least Common Multiple of 62410 and 62420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62410 and 62420, than apply into the LCM equation.

GCF(62410,62420) = 10
LCM(62410,62420) = ( 62410 × 62420) / 10
LCM(62410,62420) = 3895632200 / 10
LCM(62410,62420) = 389563220

Least Common Multiple (LCM) of 62410 and 62420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62410 and 62420. First we will calculate the prime factors of 62410 and 62420.

Prime Factorization of 62410

Prime factors of 62410 are 2, 5, 79. Prime factorization of 62410 in exponential form is:

62410 = 21 × 51 × 792

Prime Factorization of 62420

Prime factors of 62420 are 2, 5, 3121. Prime factorization of 62420 in exponential form is:

62420 = 22 × 51 × 31211

Now multiplying the highest exponent prime factors to calculate the LCM of 62410 and 62420.

LCM(62410,62420) = 22 × 51 × 792 × 31211
LCM(62410,62420) = 389563220