What is the Least Common Multiple of 77310 and 77325?

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 77325 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 77325, than apply into the LCM equation.

GCF(77310,77325) = 15
LCM(77310,77325) = ( 77310 × 77325) / 15
LCM(77310,77325) = 5977995750 / 15
LCM(77310,77325) = 398533050

Least Common Multiple (LCM) of 77310 and 77325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77310 and 77325. First we will calculate the prime factors of 77310 and 77325.

Prime Factorization of 77310

Prime Factorization of 77325

Now multiplying the highest exponent prime factors to calculate the LCM of 77310 and 77325.

LCM(77310,77325) = 2¹ × 3² × 5² × 859¹ × 1031¹
LCM(77310,77325) = 398533050