What is the Least Common Multiple of 75356 and 75376?

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 75356 and 75376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75356 and 75376, than apply into the LCM equation.

GCF(75356,75376) = 4
LCM(75356,75376) = ( 75356 × 75376) / 4
LCM(75356,75376) = 5680033856 / 4
LCM(75356,75376) = 1420008464

Least Common Multiple (LCM) of 75356 and 75376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75356 and 75376. First we will calculate the prime factors of 75356 and 75376.

Prime Factorization of 75356

Prime Factorization of 75376

Now multiplying the highest exponent prime factors to calculate the LCM of 75356 and 75376.

LCM(75356,75376) = 2⁴ × 18839¹ × 7¹ × 673¹
LCM(75356,75376) = 1420008464