What is the Least Common Multiple of 99120 and 99129?

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 99120 and 99129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99120 and 99129, than apply into the LCM equation.

GCF(99120,99129) = 3
LCM(99120,99129) = ( 99120 × 99129) / 3
LCM(99120,99129) = 9825666480 / 3
LCM(99120,99129) = 3275222160

Least Common Multiple (LCM) of 99120 and 99129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99120 and 99129. First we will calculate the prime factors of 99120 and 99129.

Prime Factorization of 99120

Prime Factorization of 99129

Now multiplying the highest exponent prime factors to calculate the LCM of 99120 and 99129.

LCM(99120,99129) = 2⁴ × 3¹ × 5¹ × 7¹ × 59¹ × 173¹ × 191¹
LCM(99120,99129) = 3275222160