What is the Least Common Multiple of 73600 and 73605?

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 73600 and 73605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73600 and 73605, than apply into the LCM equation.

GCF(73600,73605) = 5
LCM(73600,73605) = ( 73600 × 73605) / 5
LCM(73600,73605) = 5417328000 / 5
LCM(73600,73605) = 1083465600

Least Common Multiple (LCM) of 73600 and 73605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73600 and 73605. First we will calculate the prime factors of 73600 and 73605.

Prime Factorization of 73600

Prime Factorization of 73605

Now multiplying the highest exponent prime factors to calculate the LCM of 73600 and 73605.

LCM(73600,73605) = 2⁷ × 5² × 23¹ × 3¹ × 7¹ × 701¹
LCM(73600,73605) = 1083465600