What is the Least Common Multiple of 29460 and 29468?

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 29468 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 29468, than apply into the LCM equation.

GCF(29460,29468) = 4
LCM(29460,29468) = ( 29460 × 29468) / 4
LCM(29460,29468) = 868127280 / 4
LCM(29460,29468) = 217031820

Least Common Multiple (LCM) of 29460 and 29468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29460 and 29468. First we will calculate the prime factors of 29460 and 29468.

Prime Factorization of 29460

Prime Factorization of 29468

Now multiplying the highest exponent prime factors to calculate the LCM of 29460 and 29468.

LCM(29460,29468) = 2² × 3¹ × 5¹ × 491¹ × 53¹ × 139¹
LCM(29460,29468) = 217031820