What is the Least Common Multiple of 73946 and 73954?

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 73946 and 73954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73946 and 73954, than apply into the LCM equation.

GCF(73946,73954) = 2
LCM(73946,73954) = ( 73946 × 73954) / 2
LCM(73946,73954) = 5468602484 / 2
LCM(73946,73954) = 2734301242

Least Common Multiple (LCM) of 73946 and 73954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73946 and 73954. First we will calculate the prime factors of 73946 and 73954.

Prime Factorization of 73946

Prime Factorization of 73954

Now multiplying the highest exponent prime factors to calculate the LCM of 73946 and 73954.

LCM(73946,73954) = 2¹ × 36973¹ × 103¹ × 359¹
LCM(73946,73954) = 2734301242