What is the Least Common Multiple of 88446 and 88457?

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 88446 and 88457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88446 and 88457, than apply into the LCM equation.

GCF(88446,88457) = 1
LCM(88446,88457) = ( 88446 × 88457) / 1
LCM(88446,88457) = 7823667822 / 1
LCM(88446,88457) = 7823667822

Least Common Multiple (LCM) of 88446 and 88457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88446 and 88457. First we will calculate the prime factors of 88446 and 88457.

Prime Factorization of 88446

Prime Factorization of 88457

Now multiplying the highest exponent prime factors to calculate the LCM of 88446 and 88457.

LCM(88446,88457) = 2¹ × 3¹ × 14741¹ × 53¹ × 1669¹
LCM(88446,88457) = 7823667822