What is the Least Common Multiple of 80120 and 80129?

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 80120 and 80129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80120 and 80129, than apply into the LCM equation.

GCF(80120,80129) = 1
LCM(80120,80129) = ( 80120 × 80129) / 1
LCM(80120,80129) = 6419935480 / 1
LCM(80120,80129) = 6419935480

Least Common Multiple (LCM) of 80120 and 80129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80120 and 80129. First we will calculate the prime factors of 80120 and 80129.

Prime Factorization of 80120

Prime Factorization of 80129

Now multiplying the highest exponent prime factors to calculate the LCM of 80120 and 80129.

LCM(80120,80129) = 2³ × 5¹ × 2003¹ × 7¹ × 11447¹
LCM(80120,80129) = 6419935480