What is the Least Common Multiple of 73622 and 73634?

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 73622 and 73634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73622 and 73634, than apply into the LCM equation.

GCF(73622,73634) = 2
LCM(73622,73634) = ( 73622 × 73634) / 2
LCM(73622,73634) = 5421082348 / 2
LCM(73622,73634) = 2710541174

Least Common Multiple (LCM) of 73622 and 73634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73622 and 73634. First we will calculate the prime factors of 73622 and 73634.

Prime Factorization of 73622

Prime Factorization of 73634

Now multiplying the highest exponent prime factors to calculate the LCM of 73622 and 73634.

LCM(73622,73634) = 2¹ × 131¹ × 281¹ × 11¹ × 3347¹
LCM(73622,73634) = 2710541174