What is the Least Common Multiple of 77325 and 77343?

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 77325 and 77343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77325 and 77343, than apply into the LCM equation.

GCF(77325,77343) = 3
LCM(77325,77343) = ( 77325 × 77343) / 3
LCM(77325,77343) = 5980547475 / 3
LCM(77325,77343) = 1993515825

Least Common Multiple (LCM) of 77325 and 77343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77325 and 77343. First we will calculate the prime factors of 77325 and 77343.

Prime Factorization of 77325

Prime Factorization of 77343

Now multiplying the highest exponent prime factors to calculate the LCM of 77325 and 77343.

LCM(77325,77343) = 3¹ × 5² × 1031¹ × 7¹ × 29¹ × 127¹
LCM(77325,77343) = 1993515825