What is the Least Common Multiple of 73894 and 73907?

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 73894 and 73907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73894 and 73907, than apply into the LCM equation.

GCF(73894,73907) = 1
LCM(73894,73907) = ( 73894 × 73907) / 1
LCM(73894,73907) = 5461283858 / 1
LCM(73894,73907) = 5461283858

Least Common Multiple (LCM) of 73894 and 73907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73894 and 73907. First we will calculate the prime factors of 73894 and 73907.

Prime Factorization of 73894

Prime Factorization of 73907

Now multiplying the highest exponent prime factors to calculate the LCM of 73894 and 73907.

LCM(73894,73907) = 2¹ × 36947¹ × 73907¹
LCM(73894,73907) = 5461283858