What is the Least Common Multiple of 29048 and 29062?

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 29048 and 29062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29048 and 29062, than apply into the LCM equation.

GCF(29048,29062) = 2
LCM(29048,29062) = ( 29048 × 29062) / 2
LCM(29048,29062) = 844192976 / 2
LCM(29048,29062) = 422096488

Least Common Multiple (LCM) of 29048 and 29062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29048 and 29062. First we will calculate the prime factors of 29048 and 29062.

Prime Factorization of 29048

Prime Factorization of 29062

Now multiplying the highest exponent prime factors to calculate the LCM of 29048 and 29062.

LCM(29048,29062) = 2³ × 3631¹ × 11¹ × 1321¹
LCM(29048,29062) = 422096488