What is the Least Common Multiple of 76770 and 76781?

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 76770 and 76781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76770 and 76781, than apply into the LCM equation.

GCF(76770,76781) = 1
LCM(76770,76781) = ( 76770 × 76781) / 1
LCM(76770,76781) = 5894477370 / 1
LCM(76770,76781) = 5894477370

Least Common Multiple (LCM) of 76770 and 76781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76770 and 76781. First we will calculate the prime factors of 76770 and 76781.

Prime Factorization of 76770

Prime Factorization of 76781

Now multiplying the highest exponent prime factors to calculate the LCM of 76770 and 76781.

LCM(76770,76781) = 2¹ × 3² × 5¹ × 853¹ × 76781¹
LCM(76770,76781) = 5894477370