What is the Least Common Multiple of 73633 and 73640?

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 73633 and 73640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73633 and 73640, than apply into the LCM equation.

GCF(73633,73640) = 7
LCM(73633,73640) = ( 73633 × 73640) / 7
LCM(73633,73640) = 5422334120 / 7
LCM(73633,73640) = 774619160

Least Common Multiple (LCM) of 73633 and 73640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73633 and 73640. First we will calculate the prime factors of 73633 and 73640.

Prime Factorization of 73633

Prime Factorization of 73640

Now multiplying the highest exponent prime factors to calculate the LCM of 73633 and 73640.

LCM(73633,73640) = 7¹ × 67¹ × 157¹ × 2³ × 5¹ × 263¹
LCM(73633,73640) = 774619160