GCF and LCM Calculator Logo

What is the Least Common Multiple of 49900 and 49904?

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 49900 and 49904 is 622552400.

LCM(49900,49904) = 622552400

LCM Calculator and
and

Least Common Multiple of 49900 and 49904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49900 and 49904, than apply into the LCM equation.

GCF(49900,49904) = 4
LCM(49900,49904) = ( 49900 × 49904) / 4
LCM(49900,49904) = 2490209600 / 4
LCM(49900,49904) = 622552400

Least Common Multiple (LCM) of 49900 and 49904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49900 and 49904. First we will calculate the prime factors of 49900 and 49904.

Prime Factorization of 49900

Prime factors of 49900 are 2, 5, 499. Prime factorization of 49900 in exponential form is:

49900 = 22 × 52 × 4991

Prime Factorization of 49904

Prime factors of 49904 are 2, 3119. Prime factorization of 49904 in exponential form is:

49904 = 24 × 31191

Now multiplying the highest exponent prime factors to calculate the LCM of 49900 and 49904.

LCM(49900,49904) = 24 × 52 × 4991 × 31191
LCM(49900,49904) = 622552400