What is the Least Common Multiple of 68769 and 68783?

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 68769 and 68783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68769 and 68783, than apply into the LCM equation.

GCF(68769,68783) = 1
LCM(68769,68783) = ( 68769 × 68783) / 1
LCM(68769,68783) = 4730138127 / 1
LCM(68769,68783) = 4730138127

Least Common Multiple (LCM) of 68769 and 68783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68769 and 68783. First we will calculate the prime factors of 68769 and 68783.

Prime Factorization of 68769

Prime Factorization of 68783

Now multiplying the highest exponent prime factors to calculate the LCM of 68769 and 68783.

LCM(68769,68783) = 3⁵ × 283¹ × 11¹ × 13² × 37¹
LCM(68769,68783) = 4730138127