GCF and LCM Calculator Logo

What is the Least Common Multiple of 49721 and 49726?

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 49721 and 49726 is 2472426446.

LCM(49721,49726) = 2472426446

LCM Calculator and
and

Least Common Multiple of 49721 and 49726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49721 and 49726, than apply into the LCM equation.

GCF(49721,49726) = 1
LCM(49721,49726) = ( 49721 × 49726) / 1
LCM(49721,49726) = 2472426446 / 1
LCM(49721,49726) = 2472426446

Least Common Multiple (LCM) of 49721 and 49726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49721 and 49726. First we will calculate the prime factors of 49721 and 49726.

Prime Factorization of 49721

Prime factors of 49721 are 7, 7103. Prime factorization of 49721 in exponential form is:

49721 = 71 × 71031

Prime Factorization of 49726

Prime factors of 49726 are 2, 23, 47. Prime factorization of 49726 in exponential form is:

49726 = 21 × 232 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 49721 and 49726.

LCM(49721,49726) = 71 × 71031 × 21 × 232 × 471
LCM(49721,49726) = 2472426446