What is the Least Common Multiple of 76770 and 76788?

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 76788 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 76788, than apply into the LCM equation.

GCF(76770,76788) = 18
LCM(76770,76788) = ( 76770 × 76788) / 18
LCM(76770,76788) = 5895014760 / 18
LCM(76770,76788) = 327500820

Least Common Multiple (LCM) of 76770 and 76788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76770 and 76788. First we will calculate the prime factors of 76770 and 76788.

Prime Factorization of 76770

Prime Factorization of 76788

Now multiplying the highest exponent prime factors to calculate the LCM of 76770 and 76788.

LCM(76770,76788) = 2² × 3⁵ × 5¹ × 853¹ × 79¹
LCM(76770,76788) = 327500820