What is the Least Common Multiple of 90365 and 90378?

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 90365 and 90378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90365 and 90378, than apply into the LCM equation.

GCF(90365,90378) = 1
LCM(90365,90378) = ( 90365 × 90378) / 1
LCM(90365,90378) = 8167007970 / 1
LCM(90365,90378) = 8167007970

Least Common Multiple (LCM) of 90365 and 90378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90365 and 90378. First we will calculate the prime factors of 90365 and 90378.

Prime Factorization of 90365

Prime Factorization of 90378

Now multiplying the highest exponent prime factors to calculate the LCM of 90365 and 90378.

LCM(90365,90378) = 5¹ × 11¹ × 31¹ × 53¹ × 2¹ × 3² × 5021¹
LCM(90365,90378) = 8167007970