What is the Least Common Multiple of 26429 and 26447?

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 26429 and 26447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26429 and 26447, than apply into the LCM equation.

GCF(26429,26447) = 1
LCM(26429,26447) = ( 26429 × 26447) / 1
LCM(26429,26447) = 698967763 / 1
LCM(26429,26447) = 698967763

Least Common Multiple (LCM) of 26429 and 26447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26429 and 26447. First we will calculate the prime factors of 26429 and 26447.

Prime Factorization of 26429

Prime Factorization of 26447

Now multiplying the highest exponent prime factors to calculate the LCM of 26429 and 26447.

LCM(26429,26447) = 13¹ × 19¹ × 107¹ × 53¹ × 499¹
LCM(26429,26447) = 698967763