What is the Least Common Multiple of 7371 and 7385?

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 7371 and 7385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7371 and 7385, than apply into the LCM equation.

GCF(7371,7385) = 7
LCM(7371,7385) = ( 7371 × 7385) / 7
LCM(7371,7385) = 54434835 / 7
LCM(7371,7385) = 7776405

Least Common Multiple (LCM) of 7371 and 7385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7371 and 7385. First we will calculate the prime factors of 7371 and 7385.

Prime Factorization of 7371

Prime Factorization of 7385

Now multiplying the highest exponent prime factors to calculate the LCM of 7371 and 7385.

LCM(7371,7385) = 3⁴ × 7¹ × 13¹ × 5¹ × 211¹
LCM(7371,7385) = 7776405