What is the Least Common Multiple of 47938 and 47958?

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 47938 and 47958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47938 and 47958, than apply into the LCM equation.

GCF(47938,47958) = 2
LCM(47938,47958) = ( 47938 × 47958) / 2
LCM(47938,47958) = 2299010604 / 2
LCM(47938,47958) = 1149505302

Least Common Multiple (LCM) of 47938 and 47958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47938 and 47958. First we will calculate the prime factors of 47938 and 47958.

Prime Factorization of 47938

Prime Factorization of 47958

Now multiplying the highest exponent prime factors to calculate the LCM of 47938 and 47958.

LCM(47938,47958) = 2¹ × 11¹ × 2179¹ × 3¹ × 7993¹
LCM(47938,47958) = 1149505302