What is the Least Common Multiple of 71358 and 71376?

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 71358 and 71376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71358 and 71376, than apply into the LCM equation.

GCF(71358,71376) = 6
LCM(71358,71376) = ( 71358 × 71376) / 6
LCM(71358,71376) = 5093248608 / 6
LCM(71358,71376) = 848874768

Least Common Multiple (LCM) of 71358 and 71376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71358 and 71376. First we will calculate the prime factors of 71358 and 71376.

Prime Factorization of 71358

Prime Factorization of 71376

Now multiplying the highest exponent prime factors to calculate the LCM of 71358 and 71376.

LCM(71358,71376) = 2⁴ × 3¹ × 7¹ × 1699¹ × 1487¹
LCM(71358,71376) = 848874768