What is the Least Common Multiple of 73945 and 73962?

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 73945 and 73962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73945 and 73962, than apply into the LCM equation.

GCF(73945,73962) = 1
LCM(73945,73962) = ( 73945 × 73962) / 1
LCM(73945,73962) = 5469120090 / 1
LCM(73945,73962) = 5469120090

Least Common Multiple (LCM) of 73945 and 73962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73945 and 73962. First we will calculate the prime factors of 73945 and 73962.

Prime Factorization of 73945

Prime Factorization of 73962

Now multiplying the highest exponent prime factors to calculate the LCM of 73945 and 73962.

LCM(73945,73962) = 5¹ × 23¹ × 643¹ × 2¹ × 3² × 7¹ × 587¹
LCM(73945,73962) = 5469120090