What is the Least Common Multiple of 73890 and 73901?

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 73890 and 73901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73890 and 73901, than apply into the LCM equation.

GCF(73890,73901) = 1
LCM(73890,73901) = ( 73890 × 73901) / 1
LCM(73890,73901) = 5460544890 / 1
LCM(73890,73901) = 5460544890

Least Common Multiple (LCM) of 73890 and 73901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73890 and 73901. First we will calculate the prime factors of 73890 and 73901.

Prime Factorization of 73890

Prime Factorization of 73901

Now multiplying the highest exponent prime factors to calculate the LCM of 73890 and 73901.

LCM(73890,73901) = 2¹ × 3² × 5¹ × 821¹ × 67¹ × 1103¹
LCM(73890,73901) = 5460544890