What is the Least Common Multiple of 73606 and 73622?

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 73606 and 73622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73606 and 73622, than apply into the LCM equation.

GCF(73606,73622) = 2
LCM(73606,73622) = ( 73606 × 73622) / 2
LCM(73606,73622) = 5419020932 / 2
LCM(73606,73622) = 2709510466

Least Common Multiple (LCM) of 73606 and 73622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73606 and 73622. First we will calculate the prime factors of 73606 and 73622.

Prime Factorization of 73606

Prime Factorization of 73622

Now multiplying the highest exponent prime factors to calculate the LCM of 73606 and 73622.

LCM(73606,73622) = 2¹ × 13¹ × 19¹ × 149¹ × 131¹ × 281¹
LCM(73606,73622) = 2709510466