What is the Least Common Multiple of 71376 and 71380?

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 71376 and 71380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71376 and 71380, than apply into the LCM equation.

GCF(71376,71380) = 4
LCM(71376,71380) = ( 71376 × 71380) / 4
LCM(71376,71380) = 5094818880 / 4
LCM(71376,71380) = 1273704720

Least Common Multiple (LCM) of 71376 and 71380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71376 and 71380. First we will calculate the prime factors of 71376 and 71380.

Prime Factorization of 71376

Prime Factorization of 71380

Now multiplying the highest exponent prime factors to calculate the LCM of 71376 and 71380.

LCM(71376,71380) = 2⁴ × 3¹ × 1487¹ × 5¹ × 43¹ × 83¹
LCM(71376,71380) = 1273704720