What is the Least Common Multiple of 45920 and 45938?

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 45920 and 45938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45920 and 45938, than apply into the LCM equation.

GCF(45920,45938) = 2
LCM(45920,45938) = ( 45920 × 45938) / 2
LCM(45920,45938) = 2109472960 / 2
LCM(45920,45938) = 1054736480

Least Common Multiple (LCM) of 45920 and 45938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45920 and 45938. First we will calculate the prime factors of 45920 and 45938.

Prime Factorization of 45920

Prime Factorization of 45938

Now multiplying the highest exponent prime factors to calculate the LCM of 45920 and 45938.

LCM(45920,45938) = 2⁵ × 5¹ × 7¹ × 41¹ × 103¹ × 223¹
LCM(45920,45938) = 1054736480