What is the Least Common Multiple of 29880 and 29892?

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 29880 and 29892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29880 and 29892, than apply into the LCM equation.

GCF(29880,29892) = 12
LCM(29880,29892) = ( 29880 × 29892) / 12
LCM(29880,29892) = 893172960 / 12
LCM(29880,29892) = 74431080

Least Common Multiple (LCM) of 29880 and 29892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29880 and 29892. First we will calculate the prime factors of 29880 and 29892.

Prime Factorization of 29880

Prime Factorization of 29892

Now multiplying the highest exponent prime factors to calculate the LCM of 29880 and 29892.

LCM(29880,29892) = 2³ × 3² × 5¹ × 83¹ × 47¹ × 53¹
LCM(29880,29892) = 74431080