What is the Least Common Multiple of 90354 and 90365?

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 90354 and 90365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90354 and 90365, than apply into the LCM equation.

GCF(90354,90365) = 11
LCM(90354,90365) = ( 90354 × 90365) / 11
LCM(90354,90365) = 8164839210 / 11
LCM(90354,90365) = 742258110

Least Common Multiple (LCM) of 90354 and 90365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90354 and 90365. First we will calculate the prime factors of 90354 and 90365.

Prime Factorization of 90354

Prime Factorization of 90365

Now multiplying the highest exponent prime factors to calculate the LCM of 90354 and 90365.

LCM(90354,90365) = 2¹ × 3¹ × 11¹ × 37² × 5¹ × 31¹ × 53¹
LCM(90354,90365) = 742258110