What is the Least Common Multiple of 75356 and 75370?

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 75370 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 75370, than apply into the LCM equation.

GCF(75356,75370) = 2
LCM(75356,75370) = ( 75356 × 75370) / 2
LCM(75356,75370) = 5679581720 / 2
LCM(75356,75370) = 2839790860

Least Common Multiple (LCM) of 75356 and 75370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75356 and 75370. First we will calculate the prime factors of 75356 and 75370.

Prime Factorization of 75356

Prime Factorization of 75370

Now multiplying the highest exponent prime factors to calculate the LCM of 75356 and 75370.

LCM(75356,75370) = 2² × 18839¹ × 5¹ × 7537¹
LCM(75356,75370) = 2839790860