What is the Least Common Multiple of 29616 and 29636?

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 of 29616 and 29636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29616 and 29636, than apply into the LCM equation.

GCF(29616,29636) = 4
LCM(29616,29636) = ( 29616 × 29636) / 4
LCM(29616,29636) = 877699776 / 4
LCM(29616,29636) = 219424944

Least Common Multiple (LCM) of 29616 and 29636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29616 and 29636. First we will calculate the prime factors of 29616 and 29636.

Prime Factorization of 29616

Prime Factorization of 29636

Now multiplying the highest exponent prime factors to calculate the LCM of 29616 and 29636.

LCM(29616,29636) = 2⁴ × 3¹ × 617¹ × 31¹ × 239¹
LCM(29616,29636) = 219424944