What is the Least Common Multiple of 10434 and 10454?

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 10434 and 10454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10434 and 10454, than apply into the LCM equation.

GCF(10434,10454) = 2
LCM(10434,10454) = ( 10434 × 10454) / 2
LCM(10434,10454) = 109077036 / 2
LCM(10434,10454) = 54538518

Least Common Multiple (LCM) of 10434 and 10454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10434 and 10454. First we will calculate the prime factors of 10434 and 10454.

Prime Factorization of 10434

Prime Factorization of 10454

Now multiplying the highest exponent prime factors to calculate the LCM of 10434 and 10454.

LCM(10434,10454) = 2¹ × 3¹ × 37¹ × 47¹ × 5227¹
LCM(10434,10454) = 54538518