GCF and LCM Calculator Logo

What is the Least Common Multiple of 50353 and 50370?

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 50353 and 50370 is 2536280610.

LCM(50353,50370) = 2536280610

LCM Calculator and
and

Least Common Multiple of 50353 and 50370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50353 and 50370, than apply into the LCM equation.

GCF(50353,50370) = 1
LCM(50353,50370) = ( 50353 × 50370) / 1
LCM(50353,50370) = 2536280610 / 1
LCM(50353,50370) = 2536280610

Least Common Multiple (LCM) of 50353 and 50370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50353 and 50370. First we will calculate the prime factors of 50353 and 50370.

Prime Factorization of 50353

Prime factors of 50353 are 43, 1171. Prime factorization of 50353 in exponential form is:

50353 = 431 × 11711

Prime Factorization of 50370

Prime factors of 50370 are 2, 3, 5, 23, 73. Prime factorization of 50370 in exponential form is:

50370 = 21 × 31 × 51 × 231 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 50353 and 50370.

LCM(50353,50370) = 431 × 11711 × 21 × 31 × 51 × 231 × 731
LCM(50353,50370) = 2536280610