What is the Least Common Multiple of 75688 and 75704?

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 75688 and 75704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75688 and 75704, than apply into the LCM equation.

GCF(75688,75704) = 8
LCM(75688,75704) = ( 75688 × 75704) / 8
LCM(75688,75704) = 5729884352 / 8
LCM(75688,75704) = 716235544

Least Common Multiple (LCM) of 75688 and 75704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75688 and 75704. First we will calculate the prime factors of 75688 and 75704.

Prime Factorization of 75688

Prime Factorization of 75704

Now multiplying the highest exponent prime factors to calculate the LCM of 75688 and 75704.

LCM(75688,75704) = 2³ × 9461¹ × 9463¹
LCM(75688,75704) = 716235544