What is the Least Common Multiple of 4912 and 4930?

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 4930 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 4930, than apply into the LCM equation.

GCF(4912,4930) = 2
LCM(4912,4930) = ( 4912 × 4930) / 2
LCM(4912,4930) = 24216160 / 2
LCM(4912,4930) = 12108080

Least Common Multiple (LCM) of 4912 and 4930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4912 and 4930. First we will calculate the prime factors of 4912 and 4930.

Prime Factorization of 4912

Prime Factorization of 4930

Now multiplying the highest exponent prime factors to calculate the LCM of 4912 and 4930.

LCM(4912,4930) = 2⁴ × 307¹ × 5¹ × 17¹ × 29¹
LCM(4912,4930) = 12108080