What is the Least Common Multiple of 45912 and 45930?

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 45912 and 45930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45912 and 45930, than apply into the LCM equation.

GCF(45912,45930) = 6
LCM(45912,45930) = ( 45912 × 45930) / 6
LCM(45912,45930) = 2108738160 / 6
LCM(45912,45930) = 351456360

Least Common Multiple (LCM) of 45912 and 45930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45912 and 45930. First we will calculate the prime factors of 45912 and 45930.

Prime Factorization of 45912

Prime Factorization of 45930

Now multiplying the highest exponent prime factors to calculate the LCM of 45912 and 45930.

LCM(45912,45930) = 2³ × 3¹ × 1913¹ × 5¹ × 1531¹
LCM(45912,45930) = 351456360