What is the Least Common Multiple of 27930 and 27949?

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 27930 and 27949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27930 and 27949, than apply into the LCM equation.

GCF(27930,27949) = 19
LCM(27930,27949) = ( 27930 × 27949) / 19
LCM(27930,27949) = 780615570 / 19
LCM(27930,27949) = 41085030

Least Common Multiple (LCM) of 27930 and 27949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27930 and 27949. First we will calculate the prime factors of 27930 and 27949.

Prime Factorization of 27930

Prime Factorization of 27949

Now multiplying the highest exponent prime factors to calculate the LCM of 27930 and 27949.

LCM(27930,27949) = 2¹ × 3¹ × 5¹ × 7² × 19¹ × 1471¹
LCM(27930,27949) = 41085030