What is the Least Common Multiple of 29460 and 29469?

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 29460 and 29469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29460 and 29469, than apply into the LCM equation.

GCF(29460,29469) = 3
LCM(29460,29469) = ( 29460 × 29469) / 3
LCM(29460,29469) = 868156740 / 3
LCM(29460,29469) = 289385580

Least Common Multiple (LCM) of 29460 and 29469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29460 and 29469. First we will calculate the prime factors of 29460 and 29469.

Prime Factorization of 29460

Prime Factorization of 29469

Now multiplying the highest exponent prime factors to calculate the LCM of 29460 and 29469.

LCM(29460,29469) = 2² × 3¹ × 5¹ × 491¹ × 11¹ × 19¹ × 47¹
LCM(29460,29469) = 289385580