What is the Least Common Multiple of 2429 and 2447?

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 2429 and 2447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2429 and 2447, than apply into the LCM equation.

GCF(2429,2447) = 1
LCM(2429,2447) = ( 2429 × 2447) / 1
LCM(2429,2447) = 5943763 / 1
LCM(2429,2447) = 5943763

Least Common Multiple (LCM) of 2429 and 2447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2429 and 2447. First we will calculate the prime factors of 2429 and 2447.

Prime Factorization of 2429

Prime Factorization of 2447

Now multiplying the highest exponent prime factors to calculate the LCM of 2429 and 2447.

LCM(2429,2447) = 7¹ × 347¹ × 2447¹
LCM(2429,2447) = 5943763