GCF and LCM Calculator Logo

What is the Least Common Multiple of 3069 and 3088?

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 (LCM) of 3069 and 3088 is 9477072.

LCM(3069,3088) = 9477072

LCM Calculator and
and

Least Common Multiple of 3069 and 3088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3069 and 3088, than apply into the LCM equation.

GCF(3069,3088) = 1
LCM(3069,3088) = ( 3069 × 3088) / 1
LCM(3069,3088) = 9477072 / 1
LCM(3069,3088) = 9477072

Least Common Multiple (LCM) of 3069 and 3088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3069 and 3088. First we will calculate the prime factors of 3069 and 3088.

Prime Factorization of 3069

Prime factors of 3069 are 3, 11, 31. Prime factorization of 3069 in exponential form is:

3069 = 32 × 111 × 311

Prime Factorization of 3088

Prime factors of 3088 are 2, 193. Prime factorization of 3088 in exponential form is:

3088 = 24 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 3069 and 3088.

LCM(3069,3088) = 32 × 111 × 311 × 24 × 1931
LCM(3069,3088) = 9477072