What is the Least Common Multiple of 29940 and 29944?

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 29940 and 29944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29940 and 29944, than apply into the LCM equation.

GCF(29940,29944) = 4
LCM(29940,29944) = ( 29940 × 29944) / 4
LCM(29940,29944) = 896523360 / 4
LCM(29940,29944) = 224130840

Least Common Multiple (LCM) of 29940 and 29944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29940 and 29944. First we will calculate the prime factors of 29940 and 29944.

Prime Factorization of 29940

Prime Factorization of 29944

Now multiplying the highest exponent prime factors to calculate the LCM of 29940 and 29944.

LCM(29940,29944) = 2³ × 3¹ × 5¹ × 499¹ × 19¹ × 197¹
LCM(29940,29944) = 224130840