What is the Least Common Multiple of 90970 and 90975?

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 90970 and 90975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90970 and 90975, than apply into the LCM equation.

GCF(90970,90975) = 5
LCM(90970,90975) = ( 90970 × 90975) / 5
LCM(90970,90975) = 8275995750 / 5
LCM(90970,90975) = 1655199150

Least Common Multiple (LCM) of 90970 and 90975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90970 and 90975. First we will calculate the prime factors of 90970 and 90975.

Prime Factorization of 90970

Prime Factorization of 90975

Now multiplying the highest exponent prime factors to calculate the LCM of 90970 and 90975.

LCM(90970,90975) = 2¹ × 5² × 11¹ × 827¹ × 3¹ × 1213¹
LCM(90970,90975) = 1655199150