What is the Least Common Multiple of 89946 and 89965?

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 89946 and 89965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89946 and 89965, than apply into the LCM equation.

GCF(89946,89965) = 19
LCM(89946,89965) = ( 89946 × 89965) / 19
LCM(89946,89965) = 8091991890 / 19
LCM(89946,89965) = 425894310

Least Common Multiple (LCM) of 89946 and 89965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89946 and 89965. First we will calculate the prime factors of 89946 and 89965.

Prime Factorization of 89946

Prime Factorization of 89965

Now multiplying the highest exponent prime factors to calculate the LCM of 89946 and 89965.

LCM(89946,89965) = 2¹ × 3² × 19¹ × 263¹ × 5¹ × 947¹
LCM(89946,89965) = 425894310