GCF and LCM Calculator Logo

What is the Least Common Multiple of 54962 and 54982?

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 54962 and 54982 is 1510960342.

LCM(54962,54982) = 1510960342

LCM Calculator and
and

Least Common Multiple of 54962 and 54982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54962 and 54982, than apply into the LCM equation.

GCF(54962,54982) = 2
LCM(54962,54982) = ( 54962 × 54982) / 2
LCM(54962,54982) = 3021920684 / 2
LCM(54962,54982) = 1510960342

Least Common Multiple (LCM) of 54962 and 54982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54962 and 54982. First we will calculate the prime factors of 54962 and 54982.

Prime Factorization of 54962

Prime factors of 54962 are 2, 27481. Prime factorization of 54962 in exponential form is:

54962 = 21 × 274811

Prime Factorization of 54982

Prime factors of 54982 are 2, 37, 743. Prime factorization of 54982 in exponential form is:

54982 = 21 × 371 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 54962 and 54982.

LCM(54962,54982) = 21 × 274811 × 371 × 7431
LCM(54962,54982) = 1510960342