What is the Least Common Multiple of 47922 and 47938?

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 47922 and 47938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47922 and 47938, than apply into the LCM equation.

GCF(47922,47938) = 2
LCM(47922,47938) = ( 47922 × 47938) / 2
LCM(47922,47938) = 2297284836 / 2
LCM(47922,47938) = 1148642418

Least Common Multiple (LCM) of 47922 and 47938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47922 and 47938. First we will calculate the prime factors of 47922 and 47938.

Prime Factorization of 47922

Prime Factorization of 47938

Now multiplying the highest exponent prime factors to calculate the LCM of 47922 and 47938.

LCM(47922,47938) = 2¹ × 3¹ × 7² × 163¹ × 11¹ × 2179¹
LCM(47922,47938) = 1148642418