What is the Least Common Multiple of 55946 and 55951?

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 55946 and 55951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55946 and 55951, than apply into the LCM equation.

GCF(55946,55951) = 1
LCM(55946,55951) = ( 55946 × 55951) / 1
LCM(55946,55951) = 3130234646 / 1
LCM(55946,55951) = 3130234646

Least Common Multiple (LCM) of 55946 and 55951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55946 and 55951. First we will calculate the prime factors of 55946 and 55951.

Prime Factorization of 55946

Prime Factorization of 55951

Now multiplying the highest exponent prime factors to calculate the LCM of 55946 and 55951.

LCM(55946,55951) = 2¹ × 11¹ × 2543¹ × 7¹ × 7993¹
LCM(55946,55951) = 3130234646