What is the Least Common Multiple of 4758 and 4775?

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 4775 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 4775, than apply into the LCM equation.

GCF(4758,4775) = 1
LCM(4758,4775) = ( 4758 × 4775) / 1
LCM(4758,4775) = 22719450 / 1
LCM(4758,4775) = 22719450

Least Common Multiple (LCM) of 4758 and 4775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4758 and 4775. First we will calculate the prime factors of 4758 and 4775.

Prime Factorization of 4758

Prime Factorization of 4775

Now multiplying the highest exponent prime factors to calculate the LCM of 4758 and 4775.

LCM(4758,4775) = 2¹ × 3¹ × 13¹ × 61¹ × 5² × 191¹
LCM(4758,4775) = 22719450