What is the Least Common Multiple of 79125 and 79129?

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 79125 and 79129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79125 and 79129, than apply into the LCM equation.

GCF(79125,79129) = 1
LCM(79125,79129) = ( 79125 × 79129) / 1
LCM(79125,79129) = 6261082125 / 1
LCM(79125,79129) = 6261082125

Least Common Multiple (LCM) of 79125 and 79129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79125 and 79129. First we will calculate the prime factors of 79125 and 79129.

Prime Factorization of 79125

Prime Factorization of 79129

Now multiplying the highest exponent prime factors to calculate the LCM of 79125 and 79129.

LCM(79125,79129) = 3¹ × 5³ × 211¹ × 53¹ × 1493¹
LCM(79125,79129) = 6261082125