What is the Least Common Multiple of 51942 and 51947?

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 51942 and 51947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51942 and 51947, than apply into the LCM equation.

GCF(51942,51947) = 1
LCM(51942,51947) = ( 51942 × 51947) / 1
LCM(51942,51947) = 2698231074 / 1
LCM(51942,51947) = 2698231074

Least Common Multiple (LCM) of 51942 and 51947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51942 and 51947. First we will calculate the prime factors of 51942 and 51947.

Prime Factorization of 51942

Prime Factorization of 51947

Now multiplying the highest exponent prime factors to calculate the LCM of 51942 and 51947.

LCM(51942,51947) = 2¹ × 3¹ × 11¹ × 787¹ × 7¹ × 41¹ × 181¹
LCM(51942,51947) = 2698231074