What is the Least Common Multiple of 24880 and 24896?

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 24880 and 24896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24880 and 24896, than apply into the LCM equation.

GCF(24880,24896) = 16
LCM(24880,24896) = ( 24880 × 24896) / 16
LCM(24880,24896) = 619412480 / 16
LCM(24880,24896) = 38713280

Least Common Multiple (LCM) of 24880 and 24896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24880 and 24896. First we will calculate the prime factors of 24880 and 24896.

Prime Factorization of 24880

Prime Factorization of 24896

Now multiplying the highest exponent prime factors to calculate the LCM of 24880 and 24896.

LCM(24880,24896) = 2⁶ × 5¹ × 311¹ × 389¹
LCM(24880,24896) = 38713280