What is the Least Common Multiple of 88970 and 88988?

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 88988 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 88988, than apply into the LCM equation.

GCF(88970,88988) = 2
LCM(88970,88988) = ( 88970 × 88988) / 2
LCM(88970,88988) = 7917262360 / 2
LCM(88970,88988) = 3958631180

Least Common Multiple (LCM) of 88970 and 88988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88970 and 88988. First we will calculate the prime factors of 88970 and 88988.

Prime Factorization of 88970

Prime Factorization of 88988

Now multiplying the highest exponent prime factors to calculate the LCM of 88970 and 88988.

LCM(88970,88988) = 2² × 5¹ × 7¹ × 31¹ × 41¹ × 22247¹
LCM(88970,88988) = 3958631180