What is the Least Common Multiple of 66446 and 66452?

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 66446 and 66452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66446 and 66452, than apply into the LCM equation.

GCF(66446,66452) = 2
LCM(66446,66452) = ( 66446 × 66452) / 2
LCM(66446,66452) = 4415469592 / 2
LCM(66446,66452) = 2207734796

Least Common Multiple (LCM) of 66446 and 66452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66446 and 66452. First we will calculate the prime factors of 66446 and 66452.

Prime Factorization of 66446

Prime Factorization of 66452

Now multiplying the highest exponent prime factors to calculate the LCM of 66446 and 66452.

LCM(66446,66452) = 2² × 33223¹ × 37¹ × 449¹
LCM(66446,66452) = 2207734796