What is the Least Common Multiple of 72783 and 72803?

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 72783 and 72803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72783 and 72803, than apply into the LCM equation.

GCF(72783,72803) = 1
LCM(72783,72803) = ( 72783 × 72803) / 1
LCM(72783,72803) = 5298820749 / 1
LCM(72783,72803) = 5298820749

Least Common Multiple (LCM) of 72783 and 72803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72783 and 72803. First we will calculate the prime factors of 72783 and 72803.

Prime Factorization of 72783

Prime Factorization of 72803

Now multiplying the highest exponent prime factors to calculate the LCM of 72783 and 72803.

LCM(72783,72803) = 3² × 8087¹ × 47¹ × 1549¹
LCM(72783,72803) = 5298820749