What is the Least Common Multiple of 55360 and 55377?

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 55360 and 55377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55360 and 55377, than apply into the LCM equation.

GCF(55360,55377) = 1
LCM(55360,55377) = ( 55360 × 55377) / 1
LCM(55360,55377) = 3065670720 / 1
LCM(55360,55377) = 3065670720

Least Common Multiple (LCM) of 55360 and 55377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55360 and 55377. First we will calculate the prime factors of 55360 and 55377.

Prime Factorization of 55360

Prime Factorization of 55377

Now multiplying the highest exponent prime factors to calculate the LCM of 55360 and 55377.

LCM(55360,55377) = 2⁶ × 5¹ × 173¹ × 3³ × 7¹ × 293¹
LCM(55360,55377) = 3065670720