What is the Least Common Multiple of 64419 and 64431?

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 64419 and 64431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64419 and 64431, than apply into the LCM equation.

GCF(64419,64431) = 3
LCM(64419,64431) = ( 64419 × 64431) / 3
LCM(64419,64431) = 4150580589 / 3
LCM(64419,64431) = 1383526863

Least Common Multiple (LCM) of 64419 and 64431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64419 and 64431. First we will calculate the prime factors of 64419 and 64431.

Prime Factorization of 64419

Prime Factorization of 64431

Now multiplying the highest exponent prime factors to calculate the LCM of 64419 and 64431.

LCM(64419,64431) = 3² × 109¹ × 197¹ × 7159¹
LCM(64419,64431) = 1383526863