What is the Least Common Multiple of 11438 and 11446?

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 11438 and 11446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11438 and 11446, than apply into the LCM equation.

GCF(11438,11446) = 2
LCM(11438,11446) = ( 11438 × 11446) / 2
LCM(11438,11446) = 130919348 / 2
LCM(11438,11446) = 65459674

Least Common Multiple (LCM) of 11438 and 11446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11438 and 11446. First we will calculate the prime factors of 11438 and 11446.

Prime Factorization of 11438

Prime Factorization of 11446

Now multiplying the highest exponent prime factors to calculate the LCM of 11438 and 11446.

LCM(11438,11446) = 2¹ × 7¹ × 19¹ × 43¹ × 59¹ × 97¹
LCM(11438,11446) = 65459674