What is the Least Common Multiple of 56715 and 56734?

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 56715 and 56734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56715 and 56734, than apply into the LCM equation.

GCF(56715,56734) = 19
LCM(56715,56734) = ( 56715 × 56734) / 19
LCM(56715,56734) = 3217668810 / 19
LCM(56715,56734) = 169350990

Least Common Multiple (LCM) of 56715 and 56734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56715 and 56734. First we will calculate the prime factors of 56715 and 56734.

Prime Factorization of 56715

Prime Factorization of 56734

Now multiplying the highest exponent prime factors to calculate the LCM of 56715 and 56734.

LCM(56715,56734) = 3¹ × 5¹ × 19¹ × 199¹ × 2¹ × 1493¹
LCM(56715,56734) = 169350990