What is the Least Common Multiple of 55906 and 55920?

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 55906 and 55920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55906 and 55920, than apply into the LCM equation.

GCF(55906,55920) = 2
LCM(55906,55920) = ( 55906 × 55920) / 2
LCM(55906,55920) = 3126263520 / 2
LCM(55906,55920) = 1563131760

Least Common Multiple (LCM) of 55906 and 55920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55906 and 55920. First we will calculate the prime factors of 55906 and 55920.

Prime Factorization of 55906

Prime Factorization of 55920

Now multiplying the highest exponent prime factors to calculate the LCM of 55906 and 55920.

LCM(55906,55920) = 2⁴ × 27953¹ × 3¹ × 5¹ × 233¹
LCM(55906,55920) = 1563131760