What is the Least Common Multiple of 29054 and 29074?

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 29054 and 29074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29054 and 29074, than apply into the LCM equation.

GCF(29054,29074) = 2
LCM(29054,29074) = ( 29054 × 29074) / 2
LCM(29054,29074) = 844715996 / 2
LCM(29054,29074) = 422357998

Least Common Multiple (LCM) of 29054 and 29074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29054 and 29074. First we will calculate the prime factors of 29054 and 29074.

Prime Factorization of 29054

Prime Factorization of 29074

Now multiplying the highest exponent prime factors to calculate the LCM of 29054 and 29074.

LCM(29054,29074) = 2¹ × 73¹ × 199¹ × 14537¹
LCM(29054,29074) = 422357998