What is the Least Common Multiple of 64028 and 64046?

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 64028 and 64046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64028 and 64046, than apply into the LCM equation.

GCF(64028,64046) = 2
LCM(64028,64046) = ( 64028 × 64046) / 2
LCM(64028,64046) = 4100737288 / 2
LCM(64028,64046) = 2050368644

Least Common Multiple (LCM) of 64028 and 64046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64028 and 64046. First we will calculate the prime factors of 64028 and 64046.

Prime Factorization of 64028

Prime Factorization of 64046

Now multiplying the highest exponent prime factors to calculate the LCM of 64028 and 64046.

LCM(64028,64046) = 2² × 16007¹ × 31¹ × 1033¹
LCM(64028,64046) = 2050368644