What is the Least Common Multiple of 4675 and 4692?

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 4675 and 4692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4675 and 4692, than apply into the LCM equation.

GCF(4675,4692) = 17
LCM(4675,4692) = ( 4675 × 4692) / 17
LCM(4675,4692) = 21935100 / 17
LCM(4675,4692) = 1290300

Least Common Multiple (LCM) of 4675 and 4692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4675 and 4692. First we will calculate the prime factors of 4675 and 4692.

Prime Factorization of 4675

Prime Factorization of 4692

Now multiplying the highest exponent prime factors to calculate the LCM of 4675 and 4692.

LCM(4675,4692) = 5² × 11¹ × 17¹ × 2² × 3¹ × 23¹
LCM(4675,4692) = 1290300