What is the Least Common Multiple of 66624 and 66640?

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 66624 and 66640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66624 and 66640, than apply into the LCM equation.

GCF(66624,66640) = 16
LCM(66624,66640) = ( 66624 × 66640) / 16
LCM(66624,66640) = 4439823360 / 16
LCM(66624,66640) = 277488960

Least Common Multiple (LCM) of 66624 and 66640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66624 and 66640. First we will calculate the prime factors of 66624 and 66640.

Prime Factorization of 66624

Prime Factorization of 66640

Now multiplying the highest exponent prime factors to calculate the LCM of 66624 and 66640.

LCM(66624,66640) = 2⁶ × 3¹ × 347¹ × 5¹ × 7² × 17¹
LCM(66624,66640) = 277488960