GCF and LCM Calculator Logo

What is the Least Common Multiple of 29626 and 29634?

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 29626 and 29634 is 438968442.

LCM(29626,29634) = 438968442

LCM Calculator and
and

Least Common Multiple of 29626 and 29634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29626 and 29634, than apply into the LCM equation.

GCF(29626,29634) = 2
LCM(29626,29634) = ( 29626 × 29634) / 2
LCM(29626,29634) = 877936884 / 2
LCM(29626,29634) = 438968442

Least Common Multiple (LCM) of 29626 and 29634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29626 and 29634. First we will calculate the prime factors of 29626 and 29634.

Prime Factorization of 29626

Prime factors of 29626 are 2, 14813. Prime factorization of 29626 in exponential form is:

29626 = 21 × 148131

Prime Factorization of 29634

Prime factors of 29634 are 2, 3, 11, 449. Prime factorization of 29634 in exponential form is:

29634 = 21 × 31 × 111 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 29626 and 29634.

LCM(29626,29634) = 21 × 148131 × 31 × 111 × 4491
LCM(29626,29634) = 438968442