What is the Least Common Multiple of 36430 and 36446?

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 36430 and 36446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36430 and 36446, than apply into the LCM equation.

GCF(36430,36446) = 2
LCM(36430,36446) = ( 36430 × 36446) / 2
LCM(36430,36446) = 1327727780 / 2
LCM(36430,36446) = 663863890

Least Common Multiple (LCM) of 36430 and 36446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36430 and 36446. First we will calculate the prime factors of 36430 and 36446.

Prime Factorization of 36430

Prime Factorization of 36446

Now multiplying the highest exponent prime factors to calculate the LCM of 36430 and 36446.

LCM(36430,36446) = 2¹ × 5¹ × 3643¹ × 18223¹
LCM(36430,36446) = 663863890