What is the Least Common Multiple of 29536 and 29540?

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 29536 and 29540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29536 and 29540, than apply into the LCM equation.

GCF(29536,29540) = 4
LCM(29536,29540) = ( 29536 × 29540) / 4
LCM(29536,29540) = 872493440 / 4
LCM(29536,29540) = 218123360

Least Common Multiple (LCM) of 29536 and 29540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29536 and 29540. First we will calculate the prime factors of 29536 and 29540.

Prime Factorization of 29536

Prime Factorization of 29540

Now multiplying the highest exponent prime factors to calculate the LCM of 29536 and 29540.

LCM(29536,29540) = 2⁵ × 13¹ × 71¹ × 5¹ × 7¹ × 211¹
LCM(29536,29540) = 218123360