What is the Least Common Multiple of 73576 and 73582?

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 73576 and 73582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73576 and 73582, than apply into the LCM equation.

GCF(73576,73582) = 2
LCM(73576,73582) = ( 73576 × 73582) / 2
LCM(73576,73582) = 5413869232 / 2
LCM(73576,73582) = 2706934616

Least Common Multiple (LCM) of 73576 and 73582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73576 and 73582. First we will calculate the prime factors of 73576 and 73582.

Prime Factorization of 73576

Prime Factorization of 73582

Now multiplying the highest exponent prime factors to calculate the LCM of 73576 and 73582.

LCM(73576,73582) = 2³ × 17¹ × 541¹ × 36791¹
LCM(73576,73582) = 2706934616