What is the Least Common Multiple of 88465 and 88483?

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 88465 and 88483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88465 and 88483, than apply into the LCM equation.

GCF(88465,88483) = 1
LCM(88465,88483) = ( 88465 × 88483) / 1
LCM(88465,88483) = 7827648595 / 1
LCM(88465,88483) = 7827648595

Least Common Multiple (LCM) of 88465 and 88483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88465 and 88483. First we will calculate the prime factors of 88465 and 88483.

Prime Factorization of 88465

Prime Factorization of 88483

Now multiplying the highest exponent prime factors to calculate the LCM of 88465 and 88483.

LCM(88465,88483) = 5¹ × 13¹ × 1361¹ × 19¹ × 4657¹
LCM(88465,88483) = 7827648595