What is the Least Common Multiple of 77310 and 77328?

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 77310 and 77328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77310 and 77328, than apply into the LCM equation.

GCF(77310,77328) = 18
LCM(77310,77328) = ( 77310 × 77328) / 18
LCM(77310,77328) = 5978227680 / 18
LCM(77310,77328) = 332123760

Least Common Multiple (LCM) of 77310 and 77328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77310 and 77328. First we will calculate the prime factors of 77310 and 77328.

Prime Factorization of 77310

Prime Factorization of 77328

Now multiplying the highest exponent prime factors to calculate the LCM of 77310 and 77328.

LCM(77310,77328) = 2⁴ × 3³ × 5¹ × 859¹ × 179¹
LCM(77310,77328) = 332123760