What is the Least Common Multiple of 50729 and 50736?

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 50729 and 50736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50729 and 50736, than apply into the LCM equation.

GCF(50729,50736) = 7
LCM(50729,50736) = ( 50729 × 50736) / 7
LCM(50729,50736) = 2573786544 / 7
LCM(50729,50736) = 367683792

Least Common Multiple (LCM) of 50729 and 50736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50729 and 50736. First we will calculate the prime factors of 50729 and 50736.

Prime Factorization of 50729

Prime Factorization of 50736

Now multiplying the highest exponent prime factors to calculate the LCM of 50729 and 50736.

LCM(50729,50736) = 7¹ × 7247¹ × 2⁴ × 3¹ × 151¹
LCM(50729,50736) = 367683792