What is the Least Common Multiple of 50692 and 50711?

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 50692 and 50711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50692 and 50711, than apply into the LCM equation.

GCF(50692,50711) = 19
LCM(50692,50711) = ( 50692 × 50711) / 19
LCM(50692,50711) = 2570642012 / 19
LCM(50692,50711) = 135296948

Least Common Multiple (LCM) of 50692 and 50711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50692 and 50711. First we will calculate the prime factors of 50692 and 50711.

Prime Factorization of 50692

Prime Factorization of 50711

Now multiplying the highest exponent prime factors to calculate the LCM of 50692 and 50711.

LCM(50692,50711) = 2² × 19¹ × 23¹ × 29¹ × 17¹ × 157¹
LCM(50692,50711) = 135296948