What is the Least Common Multiple of 4912 and 4922?

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 4912 and 4922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4912 and 4922, than apply into the LCM equation.

GCF(4912,4922) = 2
LCM(4912,4922) = ( 4912 × 4922) / 2
LCM(4912,4922) = 24176864 / 2
LCM(4912,4922) = 12088432

Least Common Multiple (LCM) of 4912 and 4922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4912 and 4922. First we will calculate the prime factors of 4912 and 4922.

Prime Factorization of 4912

Prime Factorization of 4922

Now multiplying the highest exponent prime factors to calculate the LCM of 4912 and 4922.

LCM(4912,4922) = 2⁴ × 307¹ × 23¹ × 107¹
LCM(4912,4922) = 12088432