What is the Least Common Multiple of 69624 and 69640?

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 69624 and 69640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69624 and 69640, than apply into the LCM equation.

GCF(69624,69640) = 8
LCM(69624,69640) = ( 69624 × 69640) / 8
LCM(69624,69640) = 4848615360 / 8
LCM(69624,69640) = 606076920

Least Common Multiple (LCM) of 69624 and 69640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69624 and 69640. First we will calculate the prime factors of 69624 and 69640.

Prime Factorization of 69624

Prime Factorization of 69640

Now multiplying the highest exponent prime factors to calculate the LCM of 69624 and 69640.

LCM(69624,69640) = 2³ × 3² × 967¹ × 5¹ × 1741¹
LCM(69624,69640) = 606076920