What is the Least Common Multiple of 73901 and 73915?

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 73901 and 73915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73901 and 73915, than apply into the LCM equation.

GCF(73901,73915) = 1
LCM(73901,73915) = ( 73901 × 73915) / 1
LCM(73901,73915) = 5462392415 / 1
LCM(73901,73915) = 5462392415

Least Common Multiple (LCM) of 73901 and 73915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73901 and 73915. First we will calculate the prime factors of 73901 and 73915.

Prime Factorization of 73901

Prime Factorization of 73915

Now multiplying the highest exponent prime factors to calculate the LCM of 73901 and 73915.

LCM(73901,73915) = 67¹ × 1103¹ × 5¹ × 14783¹
LCM(73901,73915) = 5462392415