What is the Least Common Multiple of 29949 and 29964?

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 29949 and 29964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29949 and 29964, than apply into the LCM equation.

GCF(29949,29964) = 3
LCM(29949,29964) = ( 29949 × 29964) / 3
LCM(29949,29964) = 897391836 / 3
LCM(29949,29964) = 299130612

Least Common Multiple (LCM) of 29949 and 29964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29949 and 29964. First we will calculate the prime factors of 29949 and 29964.

Prime Factorization of 29949

Prime Factorization of 29964

Now multiplying the highest exponent prime factors to calculate the LCM of 29949 and 29964.

LCM(29949,29964) = 3¹ × 67¹ × 149¹ × 2² × 11¹ × 227¹
LCM(29949,29964) = 299130612