What is the Least Common Multiple of 48709 and 48713?

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 48709 and 48713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48709 and 48713, than apply into the LCM equation.

GCF(48709,48713) = 1
LCM(48709,48713) = ( 48709 × 48713) / 1
LCM(48709,48713) = 2372761517 / 1
LCM(48709,48713) = 2372761517

Least Common Multiple (LCM) of 48709 and 48713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48709 and 48713. First we will calculate the prime factors of 48709 and 48713.

Prime Factorization of 48709

Prime Factorization of 48713

Now multiplying the highest exponent prime factors to calculate the LCM of 48709 and 48713.

LCM(48709,48713) = 67¹ × 727¹ × 7¹ × 6959¹
LCM(48709,48713) = 2372761517