GCF and LCM Calculator Logo

What is the Least Common Multiple of 69147 and 69164?

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 69147 and 69164 is 4782483108.

LCM(69147,69164) = 4782483108

LCM Calculator and
and

Least Common Multiple of 69147 and 69164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69147 and 69164, than apply into the LCM equation.

GCF(69147,69164) = 1
LCM(69147,69164) = ( 69147 × 69164) / 1
LCM(69147,69164) = 4782483108 / 1
LCM(69147,69164) = 4782483108

Least Common Multiple (LCM) of 69147 and 69164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69147 and 69164. First we will calculate the prime factors of 69147 and 69164.

Prime Factorization of 69147

Prime factors of 69147 are 3, 13, 197. Prime factorization of 69147 in exponential form is:

69147 = 33 × 131 × 1971

Prime Factorization of 69164

Prime factors of 69164 are 2, 17291. Prime factorization of 69164 in exponential form is:

69164 = 22 × 172911

Now multiplying the highest exponent prime factors to calculate the LCM of 69147 and 69164.

LCM(69147,69164) = 33 × 131 × 1971 × 22 × 172911
LCM(69147,69164) = 4782483108