What is the Least Common Multiple of 73359 and 73379?

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 73359 and 73379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73359 and 73379, than apply into the LCM equation.

GCF(73359,73379) = 1
LCM(73359,73379) = ( 73359 × 73379) / 1
LCM(73359,73379) = 5383010061 / 1
LCM(73359,73379) = 5383010061

Least Common Multiple (LCM) of 73359 and 73379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73359 and 73379. First we will calculate the prime factors of 73359 and 73379.

Prime Factorization of 73359

Prime Factorization of 73379

Now multiplying the highest exponent prime factors to calculate the LCM of 73359 and 73379.

LCM(73359,73379) = 3³ × 11¹ × 13¹ × 19¹ × 73379¹
LCM(73359,73379) = 5383010061