GCF and LCM Calculator Logo

What is the Least Common Multiple of 4905 and 4925?

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 4905 and 4925 is 4831425.

LCM(4905,4925) = 4831425

LCM Calculator and
and

Least Common Multiple of 4905 and 4925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4905 and 4925, than apply into the LCM equation.

GCF(4905,4925) = 5
LCM(4905,4925) = ( 4905 × 4925) / 5
LCM(4905,4925) = 24157125 / 5
LCM(4905,4925) = 4831425

Least Common Multiple (LCM) of 4905 and 4925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4905 and 4925. First we will calculate the prime factors of 4905 and 4925.

Prime Factorization of 4905

Prime factors of 4905 are 3, 5, 109. Prime factorization of 4905 in exponential form is:

4905 = 32 × 51 × 1091

Prime Factorization of 4925

Prime factors of 4925 are 5, 197. Prime factorization of 4925 in exponential form is:

4925 = 52 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 4905 and 4925.

LCM(4905,4925) = 32 × 52 × 1091 × 1971
LCM(4905,4925) = 4831425