What is the Least Common Multiple of 34908 and 34924?

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 34908 and 34924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34908 and 34924, than apply into the LCM equation.

GCF(34908,34924) = 4
LCM(34908,34924) = ( 34908 × 34924) / 4
LCM(34908,34924) = 1219126992 / 4
LCM(34908,34924) = 304781748

Least Common Multiple (LCM) of 34908 and 34924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34908 and 34924. First we will calculate the prime factors of 34908 and 34924.

Prime Factorization of 34908

Prime Factorization of 34924

Now multiplying the highest exponent prime factors to calculate the LCM of 34908 and 34924.

LCM(34908,34924) = 2² × 3¹ × 2909¹ × 8731¹
LCM(34908,34924) = 304781748