What is the Least Common Multiple of 66776 and 66793?

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 66776 and 66793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66776 and 66793, than apply into the LCM equation.

GCF(66776,66793) = 17
LCM(66776,66793) = ( 66776 × 66793) / 17
LCM(66776,66793) = 4460169368 / 17
LCM(66776,66793) = 262362904

Least Common Multiple (LCM) of 66776 and 66793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66776 and 66793. First we will calculate the prime factors of 66776 and 66793.

Prime Factorization of 66776

Prime Factorization of 66793

Now multiplying the highest exponent prime factors to calculate the LCM of 66776 and 66793.

LCM(66776,66793) = 2³ × 17¹ × 491¹ × 3929¹
LCM(66776,66793) = 262362904