What is the Least Common Multiple of 55978 and 55994?

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 55978 and 55994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55978 and 55994, than apply into the LCM equation.

GCF(55978,55994) = 2
LCM(55978,55994) = ( 55978 × 55994) / 2
LCM(55978,55994) = 3134432132 / 2
LCM(55978,55994) = 1567216066

Least Common Multiple (LCM) of 55978 and 55994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55978 and 55994. First we will calculate the prime factors of 55978 and 55994.

Prime Factorization of 55978

Prime Factorization of 55994

Now multiplying the highest exponent prime factors to calculate the LCM of 55978 and 55994.

LCM(55978,55994) = 2¹ × 13¹ × 2153¹ × 27997¹
LCM(55978,55994) = 1567216066