What is the Least Common Multiple of 4758 and 4773?

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 4758 and 4773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4758 and 4773, than apply into the LCM equation.

GCF(4758,4773) = 3
LCM(4758,4773) = ( 4758 × 4773) / 3
LCM(4758,4773) = 22709934 / 3
LCM(4758,4773) = 7569978

Least Common Multiple (LCM) of 4758 and 4773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4758 and 4773. First we will calculate the prime factors of 4758 and 4773.

Prime Factorization of 4758

Prime Factorization of 4773

Now multiplying the highest exponent prime factors to calculate the LCM of 4758 and 4773.

LCM(4758,4773) = 2¹ × 3¹ × 13¹ × 61¹ × 37¹ × 43¹
LCM(4758,4773) = 7569978