What is the Least Common Multiple of 88970 and 88984?

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 88970 and 88984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88970 and 88984, than apply into the LCM equation.

GCF(88970,88984) = 14
LCM(88970,88984) = ( 88970 × 88984) / 14
LCM(88970,88984) = 7916906480 / 14
LCM(88970,88984) = 565493320

Least Common Multiple (LCM) of 88970 and 88984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88970 and 88984. First we will calculate the prime factors of 88970 and 88984.

Prime Factorization of 88970

Prime Factorization of 88984

Now multiplying the highest exponent prime factors to calculate the LCM of 88970 and 88984.

LCM(88970,88984) = 2³ × 5¹ × 7² × 31¹ × 41¹ × 227¹
LCM(88970,88984) = 565493320