What is the Least Common Multiple of 10474 and 10483?

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 10474 and 10483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10474 and 10483, than apply into the LCM equation.

GCF(10474,10483) = 1
LCM(10474,10483) = ( 10474 × 10483) / 1
LCM(10474,10483) = 109798942 / 1
LCM(10474,10483) = 109798942

Least Common Multiple (LCM) of 10474 and 10483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10474 and 10483. First we will calculate the prime factors of 10474 and 10483.

Prime Factorization of 10474

Prime Factorization of 10483

Now multiplying the highest exponent prime factors to calculate the LCM of 10474 and 10483.

LCM(10474,10483) = 2¹ × 5237¹ × 11¹ × 953¹
LCM(10474,10483) = 109798942