What is the Least Common Multiple of 64046 and 64054?

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 64046 and 64054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64046 and 64054, than apply into the LCM equation.

GCF(64046,64054) = 2
LCM(64046,64054) = ( 64046 × 64054) / 2
LCM(64046,64054) = 4102402484 / 2
LCM(64046,64054) = 2051201242

Least Common Multiple (LCM) of 64046 and 64054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64046 and 64054. First we will calculate the prime factors of 64046 and 64054.

Prime Factorization of 64046

Prime Factorization of 64054

Now multiplying the highest exponent prime factors to calculate the LCM of 64046 and 64054.

LCM(64046,64054) = 2¹ × 31¹ × 1033¹ × 32027¹
LCM(64046,64054) = 2051201242