What is the Least Common Multiple of 88970 and 88974?

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 88974 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 88974, than apply into the LCM equation.

GCF(88970,88974) = 2
LCM(88970,88974) = ( 88970 × 88974) / 2
LCM(88970,88974) = 7916016780 / 2
LCM(88970,88974) = 3958008390

Least Common Multiple (LCM) of 88970 and 88974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88970 and 88974. First we will calculate the prime factors of 88970 and 88974.

Prime Factorization of 88970

Prime Factorization of 88974

Now multiplying the highest exponent prime factors to calculate the LCM of 88970 and 88974.

LCM(88970,88974) = 2¹ × 5¹ × 7¹ × 31¹ × 41¹ × 3² × 4943¹
LCM(88970,88974) = 3958008390