What is the Least Common Multiple of 56734 and 56753?

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 56734 and 56753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56734 and 56753, than apply into the LCM equation.

GCF(56734,56753) = 19
LCM(56734,56753) = ( 56734 × 56753) / 19
LCM(56734,56753) = 3219824702 / 19
LCM(56734,56753) = 169464458

Least Common Multiple (LCM) of 56734 and 56753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56734 and 56753. First we will calculate the prime factors of 56734 and 56753.

Prime Factorization of 56734

Prime Factorization of 56753

Now multiplying the highest exponent prime factors to calculate the LCM of 56734 and 56753.

LCM(56734,56753) = 2¹ × 19¹ × 1493¹ × 29¹ × 103¹
LCM(56734,56753) = 169464458