What is the Least Common Multiple of 66785 and 66796?

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 66785 and 66796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66785 and 66796, than apply into the LCM equation.

GCF(66785,66796) = 1
LCM(66785,66796) = ( 66785 × 66796) / 1
LCM(66785,66796) = 4460970860 / 1
LCM(66785,66796) = 4460970860

Least Common Multiple (LCM) of 66785 and 66796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66785 and 66796. First we will calculate the prime factors of 66785 and 66796.

Prime Factorization of 66785

Prime Factorization of 66796

Now multiplying the highest exponent prime factors to calculate the LCM of 66785 and 66796.

LCM(66785,66796) = 5¹ × 19² × 37¹ × 2² × 16699¹
LCM(66785,66796) = 4460970860