What is the Least Common Multiple of 50754 and 50764?

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 50754 and 50764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50754 and 50764, than apply into the LCM equation.

GCF(50754,50764) = 2
LCM(50754,50764) = ( 50754 × 50764) / 2
LCM(50754,50764) = 2576476056 / 2
LCM(50754,50764) = 1288238028

Least Common Multiple (LCM) of 50754 and 50764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50754 and 50764. First we will calculate the prime factors of 50754 and 50764.

Prime Factorization of 50754

Prime Factorization of 50764

Now multiplying the highest exponent prime factors to calculate the LCM of 50754 and 50764.

LCM(50754,50764) = 2² × 3¹ × 11¹ × 769¹ × 7³ × 37¹
LCM(50754,50764) = 1288238028