What is the Least Common Multiple of 26432 and 26446?

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 26432 and 26446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26432 and 26446, than apply into the LCM equation.

GCF(26432,26446) = 14
LCM(26432,26446) = ( 26432 × 26446) / 14
LCM(26432,26446) = 699020672 / 14
LCM(26432,26446) = 49930048

Least Common Multiple (LCM) of 26432 and 26446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26432 and 26446. First we will calculate the prime factors of 26432 and 26446.

Prime Factorization of 26432

Prime Factorization of 26446

Now multiplying the highest exponent prime factors to calculate the LCM of 26432 and 26446.

LCM(26432,26446) = 2⁶ × 7¹ × 59¹ × 1889¹
LCM(26432,26446) = 49930048