What is the Least Common Multiple of 54705 and 54713?

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 54705 and 54713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54705 and 54713, than apply into the LCM equation.

GCF(54705,54713) = 1
LCM(54705,54713) = ( 54705 × 54713) / 1
LCM(54705,54713) = 2993074665 / 1
LCM(54705,54713) = 2993074665

Least Common Multiple (LCM) of 54705 and 54713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54705 and 54713. First we will calculate the prime factors of 54705 and 54713.

Prime Factorization of 54705

Prime Factorization of 54713

Now multiplying the highest exponent prime factors to calculate the LCM of 54705 and 54713.

LCM(54705,54713) = 3¹ × 5¹ × 7¹ × 521¹ × 54713¹
LCM(54705,54713) = 2993074665