What is the Least Common Multiple of 68710 and 68719?

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 68710 and 68719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68710 and 68719, than apply into the LCM equation.

GCF(68710,68719) = 1
LCM(68710,68719) = ( 68710 × 68719) / 1
LCM(68710,68719) = 4721682490 / 1
LCM(68710,68719) = 4721682490

Least Common Multiple (LCM) of 68710 and 68719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68710 and 68719. First we will calculate the prime factors of 68710 and 68719.

Prime Factorization of 68710

Prime Factorization of 68719

Now multiplying the highest exponent prime factors to calculate the LCM of 68710 and 68719.

LCM(68710,68719) = 2¹ × 5¹ × 6871¹ × 7¹ × 9817¹
LCM(68710,68719) = 4721682490