What is the Least Common Multiple of 66762 and 66777?

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 66777 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 66777, than apply into the LCM equation.

GCF(66762,66777) = 3
LCM(66762,66777) = ( 66762 × 66777) / 3
LCM(66762,66777) = 4458166074 / 3
LCM(66762,66777) = 1486055358

Least Common Multiple (LCM) of 66762 and 66777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66762 and 66777. First we will calculate the prime factors of 66762 and 66777.

Prime Factorization of 66762

Prime Factorization of 66777

Now multiplying the highest exponent prime factors to calculate the LCM of 66762 and 66777.

LCM(66762,66777) = 2¹ × 3² × 3709¹ × 22259¹
LCM(66762,66777) = 1486055358