GCF and LCM Calculator Logo

What is the Least Common Multiple of 29701 and 29713?

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 29701 and 29713 is 882505813.

LCM(29701,29713) = 882505813

LCM Calculator and
and

Least Common Multiple of 29701 and 29713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29701 and 29713, than apply into the LCM equation.

GCF(29701,29713) = 1
LCM(29701,29713) = ( 29701 × 29713) / 1
LCM(29701,29713) = 882505813 / 1
LCM(29701,29713) = 882505813

Least Common Multiple (LCM) of 29701 and 29713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29701 and 29713. First we will calculate the prime factors of 29701 and 29713.

Prime Factorization of 29701

Prime factors of 29701 are 7, 4243. Prime factorization of 29701 in exponential form is:

29701 = 71 × 42431

Prime Factorization of 29713

Prime factors of 29713 are 43, 691. Prime factorization of 29713 in exponential form is:

29713 = 431 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 29701 and 29713.

LCM(29701,29713) = 71 × 42431 × 431 × 6911
LCM(29701,29713) = 882505813