What is the Least Common Multiple of 57930 and 57949?

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 57930 and 57949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57930 and 57949, than apply into the LCM equation.

GCF(57930,57949) = 1
LCM(57930,57949) = ( 57930 × 57949) / 1
LCM(57930,57949) = 3356985570 / 1
LCM(57930,57949) = 3356985570

Least Common Multiple (LCM) of 57930 and 57949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57930 and 57949. First we will calculate the prime factors of 57930 and 57949.

Prime Factorization of 57930

Prime Factorization of 57949

Now multiplying the highest exponent prime factors to calculate the LCM of 57930 and 57949.

LCM(57930,57949) = 2¹ × 3¹ × 5¹ × 1931¹ × 167¹ × 347¹
LCM(57930,57949) = 3356985570