What is the Least Common Multiple of 49713 and 49723?

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 49713 and 49723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49713 and 49723, than apply into the LCM equation.

GCF(49713,49723) = 1
LCM(49713,49723) = ( 49713 × 49723) / 1
LCM(49713,49723) = 2471879499 / 1
LCM(49713,49723) = 2471879499

Least Common Multiple (LCM) of 49713 and 49723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49713 and 49723. First we will calculate the prime factors of 49713 and 49723.

Prime Factorization of 49713

Prime Factorization of 49723

Now multiplying the highest exponent prime factors to calculate the LCM of 49713 and 49723.

LCM(49713,49723) = 3¹ × 73¹ × 227¹ × 19¹ × 2617¹
LCM(49713,49723) = 2471879499