What is the Least Common Multiple of 66496 and 66503?

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 66496 and 66503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66496 and 66503, than apply into the LCM equation.

GCF(66496,66503) = 1
LCM(66496,66503) = ( 66496 × 66503) / 1
LCM(66496,66503) = 4422183488 / 1
LCM(66496,66503) = 4422183488

Least Common Multiple (LCM) of 66496 and 66503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66496 and 66503. First we will calculate the prime factors of 66496 and 66503.

Prime Factorization of 66496

Prime Factorization of 66503

Now multiplying the highest exponent prime factors to calculate the LCM of 66496 and 66503.

LCM(66496,66503) = 2⁶ × 1039¹ × 73¹ × 911¹
LCM(66496,66503) = 4422183488