What is the Least Common Multiple of 50700 and 50716?

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 50700 and 50716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50700 and 50716, than apply into the LCM equation.

GCF(50700,50716) = 4
LCM(50700,50716) = ( 50700 × 50716) / 4
LCM(50700,50716) = 2571301200 / 4
LCM(50700,50716) = 642825300

Least Common Multiple (LCM) of 50700 and 50716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50700 and 50716. First we will calculate the prime factors of 50700 and 50716.

Prime Factorization of 50700

Prime Factorization of 50716

Now multiplying the highest exponent prime factors to calculate the LCM of 50700 and 50716.

LCM(50700,50716) = 2² × 3¹ × 5² × 13² × 31¹ × 409¹
LCM(50700,50716) = 642825300