What is the Least Common Multiple of 66762 and 66781?

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 66762 and 66781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66762 and 66781, than apply into the LCM equation.

GCF(66762,66781) = 1
LCM(66762,66781) = ( 66762 × 66781) / 1
LCM(66762,66781) = 4458433122 / 1
LCM(66762,66781) = 4458433122

Least Common Multiple (LCM) of 66762 and 66781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66762 and 66781. First we will calculate the prime factors of 66762 and 66781.

Prime Factorization of 66762

Prime Factorization of 66781

Now multiplying the highest exponent prime factors to calculate the LCM of 66762 and 66781.

LCM(66762,66781) = 2¹ × 3² × 3709¹ × 11¹ × 13¹ × 467¹
LCM(66762,66781) = 4458433122