What is the Least Common Multiple of 27920 and 27937?

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 27920 and 27937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27920 and 27937, than apply into the LCM equation.

GCF(27920,27937) = 1
LCM(27920,27937) = ( 27920 × 27937) / 1
LCM(27920,27937) = 780001040 / 1
LCM(27920,27937) = 780001040

Least Common Multiple (LCM) of 27920 and 27937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27920 and 27937. First we will calculate the prime factors of 27920 and 27937.

Prime Factorization of 27920

Prime Factorization of 27937

Now multiplying the highest exponent prime factors to calculate the LCM of 27920 and 27937.

LCM(27920,27937) = 2⁴ × 5¹ × 349¹ × 7¹ × 13¹ × 307¹
LCM(27920,27937) = 780001040