What is the Least Common Multiple of 45936 and 45947?

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 45936 and 45947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45936 and 45947, than apply into the LCM equation.

GCF(45936,45947) = 11
LCM(45936,45947) = ( 45936 × 45947) / 11
LCM(45936,45947) = 2110621392 / 11
LCM(45936,45947) = 191874672

Least Common Multiple (LCM) of 45936 and 45947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45936 and 45947. First we will calculate the prime factors of 45936 and 45947.

Prime Factorization of 45936

Prime Factorization of 45947

Now multiplying the highest exponent prime factors to calculate the LCM of 45936 and 45947.

LCM(45936,45947) = 2⁴ × 3² × 11¹ × 29¹ × 4177¹
LCM(45936,45947) = 191874672