What is the Least Common Multiple of 29964 and 29984?

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 29964 and 29984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29964 and 29984, than apply into the LCM equation.

GCF(29964,29984) = 4
LCM(29964,29984) = ( 29964 × 29984) / 4
LCM(29964,29984) = 898440576 / 4
LCM(29964,29984) = 224610144

Least Common Multiple (LCM) of 29964 and 29984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29964 and 29984. First we will calculate the prime factors of 29964 and 29984.

Prime Factorization of 29964

Prime Factorization of 29984

Now multiplying the highest exponent prime factors to calculate the LCM of 29964 and 29984.

LCM(29964,29984) = 2⁵ × 3¹ × 11¹ × 227¹ × 937¹
LCM(29964,29984) = 224610144