What is the Least Common Multiple of 7440 and 7445?

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 7440 and 7445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7440 and 7445, than apply into the LCM equation.

GCF(7440,7445) = 5
LCM(7440,7445) = ( 7440 × 7445) / 5
LCM(7440,7445) = 55390800 / 5
LCM(7440,7445) = 11078160

Least Common Multiple (LCM) of 7440 and 7445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7440 and 7445. First we will calculate the prime factors of 7440 and 7445.

Prime Factorization of 7440

Prime Factorization of 7445

Now multiplying the highest exponent prime factors to calculate the LCM of 7440 and 7445.

LCM(7440,7445) = 2⁴ × 3¹ × 5¹ × 31¹ × 1489¹
LCM(7440,7445) = 11078160