What is the Least Common Multiple of 36464 and 36469?

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 36464 and 36469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36464 and 36469, than apply into the LCM equation.

GCF(36464,36469) = 1
LCM(36464,36469) = ( 36464 × 36469) / 1
LCM(36464,36469) = 1329805616 / 1
LCM(36464,36469) = 1329805616

Least Common Multiple (LCM) of 36464 and 36469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36464 and 36469. First we will calculate the prime factors of 36464 and 36469.

Prime Factorization of 36464

Prime Factorization of 36469

Now multiplying the highest exponent prime factors to calculate the LCM of 36464 and 36469.

LCM(36464,36469) = 2⁴ × 43¹ × 53¹ × 36469¹
LCM(36464,36469) = 1329805616