What is the Least Common Multiple of 66360 and 66369?

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 66360 and 66369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66360 and 66369, than apply into the LCM equation.

GCF(66360,66369) = 3
LCM(66360,66369) = ( 66360 × 66369) / 3
LCM(66360,66369) = 4404246840 / 3
LCM(66360,66369) = 1468082280

Least Common Multiple (LCM) of 66360 and 66369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66360 and 66369. First we will calculate the prime factors of 66360 and 66369.

Prime Factorization of 66360

Prime Factorization of 66369

Now multiplying the highest exponent prime factors to calculate the LCM of 66360 and 66369.

LCM(66360,66369) = 2³ × 3¹ × 5¹ × 7¹ × 79¹ × 22123¹
LCM(66360,66369) = 1468082280