What is the Least Common Multiple of 56710 and 56714?

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 56710 and 56714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56710 and 56714, than apply into the LCM equation.

GCF(56710,56714) = 2
LCM(56710,56714) = ( 56710 × 56714) / 2
LCM(56710,56714) = 3216250940 / 2
LCM(56710,56714) = 1608125470

Least Common Multiple (LCM) of 56710 and 56714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56710 and 56714. First we will calculate the prime factors of 56710 and 56714.

Prime Factorization of 56710

Prime Factorization of 56714

Now multiplying the highest exponent prime factors to calculate the LCM of 56710 and 56714.

LCM(56710,56714) = 2¹ × 5¹ × 53¹ × 107¹ × 7¹ × 4051¹
LCM(56710,56714) = 1608125470