What is the Least Common Multiple of 75740 and 75752?

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 75740 and 75752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75740 and 75752, than apply into the LCM equation.

GCF(75740,75752) = 4
LCM(75740,75752) = ( 75740 × 75752) / 4
LCM(75740,75752) = 5737456480 / 4
LCM(75740,75752) = 1434364120

Least Common Multiple (LCM) of 75740 and 75752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75740 and 75752. First we will calculate the prime factors of 75740 and 75752.

Prime Factorization of 75740

Prime Factorization of 75752

Now multiplying the highest exponent prime factors to calculate the LCM of 75740 and 75752.

LCM(75740,75752) = 2³ × 5¹ × 7¹ × 541¹ × 17¹ × 557¹
LCM(75740,75752) = 1434364120