What is the Least Common Multiple of 56705 and 56716?

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 56705 and 56716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56705 and 56716, than apply into the LCM equation.

GCF(56705,56716) = 11
LCM(56705,56716) = ( 56705 × 56716) / 11
LCM(56705,56716) = 3216080780 / 11
LCM(56705,56716) = 292370980

Least Common Multiple (LCM) of 56705 and 56716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56705 and 56716. First we will calculate the prime factors of 56705 and 56716.

Prime Factorization of 56705

Prime Factorization of 56716

Now multiplying the highest exponent prime factors to calculate the LCM of 56705 and 56716.

LCM(56705,56716) = 5¹ × 11¹ × 1031¹ × 2² × 1289¹
LCM(56705,56716) = 292370980