GCF and LCM Calculator Logo

What is the Least Common Multiple of 62969 and 62981?

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 62969 and 62981 is 3965850589.

LCM(62969,62981) = 3965850589

LCM Calculator and
and

Least Common Multiple of 62969 and 62981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62969 and 62981, than apply into the LCM equation.

GCF(62969,62981) = 1
LCM(62969,62981) = ( 62969 × 62981) / 1
LCM(62969,62981) = 3965850589 / 1
LCM(62969,62981) = 3965850589

Least Common Multiple (LCM) of 62969 and 62981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62969 and 62981. First we will calculate the prime factors of 62969 and 62981.

Prime Factorization of 62969

Prime factors of 62969 are 62969. Prime factorization of 62969 in exponential form is:

62969 = 629691

Prime Factorization of 62981

Prime factors of 62981 are 62981. Prime factorization of 62981 in exponential form is:

62981 = 629811

Now multiplying the highest exponent prime factors to calculate the LCM of 62969 and 62981.

LCM(62969,62981) = 629691 × 629811
LCM(62969,62981) = 3965850589