What is the Least Common Multiple of 56714 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 56714 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 56714 and 56734, than apply into the LCM equation.

GCF(56714,56734) = 2
LCM(56714,56734) = ( 56714 × 56734) / 2
LCM(56714,56734) = 3217612076 / 2
LCM(56714,56734) = 1608806038

Least Common Multiple (LCM) of 56714 and 56734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56714 and 56734. First we will calculate the prime factors of 56714 and 56734.

Prime Factorization of 56714

Prime Factorization of 56734

Now multiplying the highest exponent prime factors to calculate the LCM of 56714 and 56734.

LCM(56714,56734) = 2¹ × 7¹ × 4051¹ × 19¹ × 1493¹
LCM(56714,56734) = 1608806038