What is the Least Common Multiple of 44457 and 44469?

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 44457 and 44469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44457 and 44469, than apply into the LCM equation.

GCF(44457,44469) = 3
LCM(44457,44469) = ( 44457 × 44469) / 3
LCM(44457,44469) = 1976958333 / 3
LCM(44457,44469) = 658986111

Least Common Multiple (LCM) of 44457 and 44469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44457 and 44469. First we will calculate the prime factors of 44457 and 44469.

Prime Factorization of 44457

Prime Factorization of 44469

Now multiplying the highest exponent prime factors to calculate the LCM of 44457 and 44469.

LCM(44457,44469) = 3⁶ × 7¹ × 29¹ × 73¹ × 61¹
LCM(44457,44469) = 658986111