What is the Least Common Multiple of 24446 and 24458?

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 24446 and 24458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24446 and 24458, than apply into the LCM equation.

GCF(24446,24458) = 2
LCM(24446,24458) = ( 24446 × 24458) / 2
LCM(24446,24458) = 597900268 / 2
LCM(24446,24458) = 298950134

Least Common Multiple (LCM) of 24446 and 24458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24446 and 24458. First we will calculate the prime factors of 24446 and 24458.

Prime Factorization of 24446

Prime Factorization of 24458

Now multiplying the highest exponent prime factors to calculate the LCM of 24446 and 24458.

LCM(24446,24458) = 2¹ × 17¹ × 719¹ × 7¹ × 1747¹
LCM(24446,24458) = 298950134