What is the Least Common Multiple of 76776 and 76785?

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 76776 and 76785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76776 and 76785, than apply into the LCM equation.

GCF(76776,76785) = 3
LCM(76776,76785) = ( 76776 × 76785) / 3
LCM(76776,76785) = 5895245160 / 3
LCM(76776,76785) = 1965081720

Least Common Multiple (LCM) of 76776 and 76785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76776 and 76785. First we will calculate the prime factors of 76776 and 76785.

Prime Factorization of 76776

Prime Factorization of 76785

Now multiplying the highest exponent prime factors to calculate the LCM of 76776 and 76785.

LCM(76776,76785) = 2³ × 3¹ × 7¹ × 457¹ × 5¹ × 5119¹
LCM(76776,76785) = 1965081720