What is the Least Common Multiple of 7376 and 7387?

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 7376 and 7387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7376 and 7387, than apply into the LCM equation.

GCF(7376,7387) = 1
LCM(7376,7387) = ( 7376 × 7387) / 1
LCM(7376,7387) = 54486512 / 1
LCM(7376,7387) = 54486512

Least Common Multiple (LCM) of 7376 and 7387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7376 and 7387. First we will calculate the prime factors of 7376 and 7387.

Prime Factorization of 7376

Prime Factorization of 7387

Now multiplying the highest exponent prime factors to calculate the LCM of 7376 and 7387.

LCM(7376,7387) = 2⁴ × 461¹ × 83¹ × 89¹
LCM(7376,7387) = 54486512